7y+5=8y-2

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


Simplifying
7y + 5 = 8y + -2

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

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

Solving
5 + 7y = -2 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
5 + 7y + -8y = -2 + 8y + -8y

Combine like terms: 7y + -8y = -1y
5 + -1y = -2 + 8y + -8y

Combine like terms: 8y + -8y = 0
5 + -1y = -2 + 0
5 + -1y = -2

Add '-5' to each side of the equation.
5 + -5 + -1y = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = -2 + -5
-1y = -2 + -5

Combine like terms: -2 + -5 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

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