-6=7-(10-y)

Solution for -6=7-(10-y) equation:

Simplifying
-6 = 7 + -1(10 + -1y)
-6 = 7 + (10 * -1 + -1y * -1)
-6 = 7 + (-10 + 1y)

Combine like terms: 7 + -10 = -3
-6 = -3 + 1y

Solving
-6 = -3 + 1y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1y' to each side of the equation.
-6 + -1y = -3 + 1y + -1y

Combine like terms: 1y + -1y = 0
-6 + -1y = -3 + 0
-6 + -1y = -3

Add '6' to each side of the equation.
-6 + 6 + -1y = -3 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = -3 + 6
-1y = -3 + 6

Combine like terms: -3 + 6 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3