7y+10=5y-10

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Solution for 7y+10=5y-10 equation: 


Simplifying
7y + 10 = 5y + -10

Reorder the terms:
10 + 7y = 5y + -10

Reorder the terms:
10 + 7y = -10 + 5y

Solving
10 + 7y = -10 + 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.
10 + 7y + -5y = -10 + 5y + -5y

Combine like terms: 7y + -5y = 2y
10 + 2y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + 2y = -10 + 0
10 + 2y = -10

Add '-10' to each side of the equation.
10 + -10 + 2y = -10 + -10

Combine like terms: 10 + -10 = 0
0 + 2y = -10 + -10
2y = -10 + -10

Combine like terms: -10 + -10 = -20
2y = -20

Divide each side by '2'.
y = -10

Simplifying
y = -10

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