-8y+6(y-7)=-32

Solution for -8y+6(y-7)=-32 equation:

Simplifying
-8y + 6(y + -7) = -32

Reorder the terms:
-8y + 6(-7 + y) = -32
-8y + (-7 * 6 + y * 6) = -32
-8y + (-42 + 6y) = -32

Reorder the terms:
-42 + -8y + 6y = -32

Combine like terms: -8y + 6y = -2y
-42 + -2y = -32

Solving
-42 + -2y = -32

Solving for variable 'y'.

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

Add '42' to each side of the equation.
-42 + 42 + -2y = -32 + 42

Combine like terms: -42 + 42 = 0
0 + -2y = -32 + 42
-2y = -32 + 42

Combine like terms: -32 + 42 = 10
-2y = 10

Divide each side by '-2'.
y = -5

Simplifying
y = -5