9y+7=5y-13

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Solution for 9y+7=5y-13 equation:


Simplifying
9y + 7 = 5y + -13

Reorder the terms:
7 + 9y = 5y + -13

Reorder the terms:
7 + 9y = -13 + 5y

Solving
7 + 9y = -13 + 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.
7 + 9y + -5y = -13 + 5y + -5y

Combine like terms: 9y + -5y = 4y
7 + 4y = -13 + 5y + -5y

Combine like terms: 5y + -5y = 0
7 + 4y = -13 + 0
7 + 4y = -13

Add '-7' to each side of the equation.
7 + -7 + 4y = -13 + -7

Combine like terms: 7 + -7 = 0
0 + 4y = -13 + -7
4y = -13 + -7

Combine like terms: -13 + -7 = -20
4y = -20

Divide each side by '4'.
y = -5

Simplifying
y = -5

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