-9y+15=-(-12y-78)

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Solution for -9y+15=-(-12y-78) equation:


Simplifying
-9y + 15 = -1(-12y + -78)

Reorder the terms:
15 + -9y = -1(-12y + -78)

Reorder the terms:
15 + -9y = -1(-78 + -12y)
15 + -9y = (-78 * -1 + -12y * -1)
15 + -9y = (78 + 12y)

Solving
15 + -9y = 78 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
15 + -9y + -12y = 78 + 12y + -12y

Combine like terms: -9y + -12y = -21y
15 + -21y = 78 + 12y + -12y

Combine like terms: 12y + -12y = 0
15 + -21y = 78 + 0
15 + -21y = 78

Add '-15' to each side of the equation.
15 + -15 + -21y = 78 + -15

Combine like terms: 15 + -15 = 0
0 + -21y = 78 + -15
-21y = 78 + -15

Combine like terms: 78 + -15 = 63
-21y = 63

Divide each side by '-21'.
y = -3

Simplifying
y = -3

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