8(y+1)=7y-2

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Solution for 8(y+1)=7y-2 equation:


Simplifying
8(y + 1) = 7y + -2

Reorder the terms:
8(1 + y) = 7y + -2
(1 * 8 + y * 8) = 7y + -2
(8 + 8y) = 7y + -2

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

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

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

Combine like terms: 7y + -7y = 0
8 + 1y = -2 + 0
8 + 1y = -2

Add '-8' to each side of the equation.
8 + -8 + 1y = -2 + -8

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

Combine like terms: -2 + -8 = -10
1y = -10

Divide each side by '1'.
y = -10

Simplifying
y = -10

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