8(y+1)=3y-12

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Solution for 8(y+1)=3y-12 equation:


Simplifying
8(y + 1) = 3y + -12

Reorder the terms:
8(1 + y) = 3y + -12
(1 * 8 + y * 8) = 3y + -12
(8 + 8y) = 3y + -12

Reorder the terms:
8 + 8y = -12 + 3y

Solving
8 + 8y = -12 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
8 + 8y + -3y = -12 + 3y + -3y

Combine like terms: 8y + -3y = 5y
8 + 5y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + 5y = -12 + 0
8 + 5y = -12

Add '-8' to each side of the equation.
8 + -8 + 5y = -12 + -8

Combine like terms: 8 + -8 = 0
0 + 5y = -12 + -8
5y = -12 + -8

Combine like terms: -12 + -8 = -20
5y = -20

Divide each side by '5'.
y = -4

Simplifying
y = -4

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