R7C7 can only be <8>

R7C4 is the only square in row 7 that can be <7>

R5C6 is the only square in column 6 that can be <9>

Intersection of column 5 with block 5. The value <8> only appears in one or more of squares R4C5, R5C5 and R6C5 of column 5. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain this value.

R5C4 - removing <8> from <18> leaving <1>

R5C1 can only be <5>

R5C9 can only be <6>

R9C8 is the only square in row 9 that can be <6>

R1C2 is the only square in row 1 that can be <6>

R2C5 is the only square in row 2 that can be <6>

R3C7 is the only square in row 3 that can be <6>

R3C8 is the only square in row 3 that can be <1>

R6C3 is the only square in row 6 that can be <6>

R8C5 is the only square in column 5 that can be <1>

R1C8 is the only square in block 3 that can be <9>

Squares R4C5 and R6C5 in column 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <38>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R3C5 - removing <3> from <235> leaving <25>

R7C5 - removing <3> from <235> leaving <25>

Intersection of column 1 with block 4. The value <9> only appears in one or more of squares R4C1, R5C1 and R6C1 of column 1. These squares are the ones that intersect with block 4. Thus, the other (non-intersecting) squares of block 4 cannot contain this value.

R4C2 - removing <9> from <14789> leaving <1478>

R4C3 - removing <9> from <49> leaving <4>

R6C2 - removing <9> from <12489> leaving <1248>

Squares R4C1 and R4C7 in row 4 form a simple locked pair. These 2 squares both contain the 2 possibilities <19>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.

R4C2 - removing <1> from <178> leaving <78>

Squares R4C2 and R5C2 in column 2 form a simple locked pair. These 2 squares both contain the 2 possibilities <78>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the column.

R6C2 - removing <8> from <128> leaving <12>

Squares R2C2 and R2C8 in row 2 and R8C2 and R8C8 in row 8 form a Simple X-Wing pattern on possibility <2>. All other instances of this possibility in columns 2 and 8 can be removed.

R3C2 - removing <2> from <2459> leaving <459>

R6C2 - removing <2> from <12> leaving <1>

R7C2 - removing <2> from <2349> leaving <349>

R7C8 - removing <2> from <234> leaving <34>

R9C2 - removing <2> from <1234> leaving <134>

R6C7 can only be <9>

R4C1 can only be <9>

R6C1 can only be <2>

R4C7 can only be <1>

R1C1 can only be <4>

R1C4 can only be <8>

R9C1 can only be <1>

R9C4 can only be <3>

R9C2 can only be <4>

R3C4 can only be <4>

R9C9 can only be <2>

R9C6 can only be <8>

R1C9 can only be <5>

R8C8 can only be <3>

R1C6 can only be <2>

R4C9 can only be <3>

R2C8 can only be <2>

R2C2 can only be <5>

R4C5 can only be <8>

R6C9 can only be <4>

R6C8 can only be <8>

R8C2 can only be <2>

R7C8 can only be <4>

R7C6 can only be <5>

R3C5 can only be <5>

R3C2 can only be <9>

R3C3 can only be <2>

R7C2 can only be <3>

R7C3 can only be <9>

R3C6 can only be <3>

R7C5 can only be <2>

R4C2 can only be <7>

R6C5 can only be <3>

R5C8 can only be <7>

R4C8 can only be <5>

R5C2 can only be <8>