7y-2=-8y-32

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Solution for 7y-2=-8y-32 equation:


Simplifying
7y + -2 = -8y + -32

Reorder the terms:
-2 + 7y = -8y + -32

Reorder the terms:
-2 + 7y = -32 + -8y

Solving
-2 + 7y = -32 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-2 + 7y + 8y = -32 + -8y + 8y

Combine like terms: 7y + 8y = 15y
-2 + 15y = -32 + -8y + 8y

Combine like terms: -8y + 8y = 0
-2 + 15y = -32 + 0
-2 + 15y = -32

Add '2' to each side of the equation.
-2 + 2 + 15y = -32 + 2

Combine like terms: -2 + 2 = 0
0 + 15y = -32 + 2
15y = -32 + 2

Combine like terms: -32 + 2 = -30
15y = -30

Divide each side by '15'.
y = -2

Simplifying
y = -2

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