7y+3=2y-12

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Solution for 7y+3=2y-12 equation:


Simplifying
7y + 3 = 2y + -12

Reorder the terms:
3 + 7y = 2y + -12

Reorder the terms:
3 + 7y = -12 + 2y

Solving
3 + 7y = -12 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
3 + 7y + -2y = -12 + 2y + -2y

Combine like terms: 7y + -2y = 5y
3 + 5y = -12 + 2y + -2y

Combine like terms: 2y + -2y = 0
3 + 5y = -12 + 0
3 + 5y = -12

Add '-3' to each side of the equation.
3 + -3 + 5y = -12 + -3

Combine like terms: 3 + -3 = 0
0 + 5y = -12 + -3
5y = -12 + -3

Combine like terms: -12 + -3 = -15
5y = -15

Divide each side by '5'.
y = -3

Simplifying
y = -3

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