-7(y+2)=-5y-12

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Solution for -7(y+2)=-5y-12 equation:


Simplifying
-7(y + 2) = -5y + -12

Reorder the terms:
-7(2 + y) = -5y + -12
(2 * -7 + y * -7) = -5y + -12
(-14 + -7y) = -5y + -12

Reorder the terms:
-14 + -7y = -12 + -5y

Solving
-14 + -7y = -12 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-14 + -7y + 5y = -12 + -5y + 5y

Combine like terms: -7y + 5y = -2y
-14 + -2y = -12 + -5y + 5y

Combine like terms: -5y + 5y = 0
-14 + -2y = -12 + 0
-14 + -2y = -12

Add '14' to each side of the equation.
-14 + 14 + -2y = -12 + 14

Combine like terms: -14 + 14 = 0
0 + -2y = -12 + 14
-2y = -12 + 14

Combine like terms: -12 + 14 = 2
-2y = 2

Divide each side by '-2'.
y = -1

Simplifying
y = -1

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