5(y-4)=-7y-32

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Solution for 5(y-4)=-7y-32 equation:


Simplifying
5(y + -4) = -7y + -32

Reorder the terms:
5(-4 + y) = -7y + -32
(-4 * 5 + y * 5) = -7y + -32
(-20 + 5y) = -7y + -32

Reorder the terms:
-20 + 5y = -32 + -7y

Solving
-20 + 5y = -32 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-20 + 5y + 7y = -32 + -7y + 7y

Combine like terms: 5y + 7y = 12y
-20 + 12y = -32 + -7y + 7y

Combine like terms: -7y + 7y = 0
-20 + 12y = -32 + 0
-20 + 12y = -32

Add '20' to each side of the equation.
-20 + 20 + 12y = -32 + 20

Combine like terms: -20 + 20 = 0
0 + 12y = -32 + 20
12y = -32 + 20

Combine like terms: -32 + 20 = -12
12y = -12

Divide each side by '12'.
y = -1

Simplifying
y = -1

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