8y+2=5y-7

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Solution for 8y+2=5y-7 equation: 


Simplifying
8y + 2 = 5y + -7

Reorder the terms:
2 + 8y = 5y + -7

Reorder the terms:
2 + 8y = -7 + 5y

Solving
2 + 8y = -7 + 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.
2 + 8y + -5y = -7 + 5y + -5y

Combine like terms: 8y + -5y = 3y
2 + 3y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
2 + 3y = -7 + 0
2 + 3y = -7

Add '-2' to each side of the equation.
2 + -2 + 3y = -7 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = -7 + -2
3y = -7 + -2

Combine like terms: -7 + -2 = -9
3y = -9

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

Simplifying
y = -3

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