2y-75=7y+85

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Solution for 2y-75=7y+85 equation:


Simplifying
2y + -75 = 7y + 85

Reorder the terms:
-75 + 2y = 7y + 85

Reorder the terms:
-75 + 2y = 85 + 7y

Solving
-75 + 2y = 85 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-75 + 2y + -7y = 85 + 7y + -7y

Combine like terms: 2y + -7y = -5y
-75 + -5y = 85 + 7y + -7y

Combine like terms: 7y + -7y = 0
-75 + -5y = 85 + 0
-75 + -5y = 85

Add '75' to each side of the equation.
-75 + 75 + -5y = 85 + 75

Combine like terms: -75 + 75 = 0
0 + -5y = 85 + 75
-5y = 85 + 75

Combine like terms: 85 + 75 = 160
-5y = 160

Divide each side by '-5'.
y = -32

Simplifying
y = -32

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