4(5y+7)=8y-8

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Solution for 4(5y+7)=8y-8 equation:


Simplifying
4(5y + 7) = 8y + -8

Reorder the terms:
4(7 + 5y) = 8y + -8
(7 * 4 + 5y * 4) = 8y + -8
(28 + 20y) = 8y + -8

Reorder the terms:
28 + 20y = -8 + 8y

Solving
28 + 20y = -8 + 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.
28 + 20y + -8y = -8 + 8y + -8y

Combine like terms: 20y + -8y = 12y
28 + 12y = -8 + 8y + -8y

Combine like terms: 8y + -8y = 0
28 + 12y = -8 + 0
28 + 12y = -8

Add '-28' to each side of the equation.
28 + -28 + 12y = -8 + -28

Combine like terms: 28 + -28 = 0
0 + 12y = -8 + -28
12y = -8 + -28

Combine like terms: -8 + -28 = -36
12y = -36

Divide each side by '12'.
y = -3

Simplifying
y = -3

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