7y+10=2y-10

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


Simplifying
7y + 10 = 2y + -10

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

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

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

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

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

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

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

Combine like terms: -10 + -10 = -20
5y = -20

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

Simplifying
y = -4

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