7y+10=2y-5

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Solution for 7y+10=2y-5 equation: 


Simplifying
7y + 10 = 2y + -5

Reorder the terms:
10 + 7y = 2y + -5

Reorder the terms:
10 + 7y = -5 + 2y

Solving
10 + 7y = -5 + 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.
10 + 7y + -2y = -5 + 2y + -2y

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

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

Add '-10' to each side of the equation.
10 + -10 + 5y = -5 + -10

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

Combine like terms: -5 + -10 = -15
5y = -15

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

Simplifying
y = -3

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