12-9(y+5)=-1(1-y)

Solution for 12-9(y+5)=-1(1-y) equation:

Simplifying
12 + -9(y + 5) = -1(1 + -1y)

Reorder the terms:
12 + -9(5 + y) = -1(1 + -1y)
12 + (5 * -9 + y * -9) = -1(1 + -1y)
12 + (-45 + -9y) = -1(1 + -1y)

Combine like terms: 12 + -45 = -33
-33 + -9y = -1(1 + -1y)
-33 + -9y = (1 * -1 + -1y * -1)
-33 + -9y = (-1 + 1y)

Solving
-33 + -9y = -1 + 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.
-33 + -9y + -1y = -1 + 1y + -1y

Combine like terms: -9y + -1y = -10y
-33 + -10y = -1 + 1y + -1y

Combine like terms: 1y + -1y = 0
-33 + -10y = -1 + 0
-33 + -10y = -1

Add '33' to each side of the equation.
-33 + 33 + -10y = -1 + 33

Combine like terms: -33 + 33 = 0
0 + -10y = -1 + 33
-10y = -1 + 33

Combine like terms: -1 + 33 = 32
-10y = 32

Divide each side by '-10'.
y = -3.2

Simplifying
y = -3.2