3(y+8)=-2(7y-7)+5y

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Solution for 3(y+8)=-2(7y-7)+5y equation: 


Simplifying
3(y + 8) = -2(7y + -7) + 5y

Reorder the terms:
3(8 + y) = -2(7y + -7) + 5y
(8 * 3 + y * 3) = -2(7y + -7) + 5y
(24 + 3y) = -2(7y + -7) + 5y

Reorder the terms:
24 + 3y = -2(-7 + 7y) + 5y
24 + 3y = (-7 * -2 + 7y * -2) + 5y
24 + 3y = (14 + -14y) + 5y

Combine like terms: -14y + 5y = -9y
24 + 3y = 14 + -9y

Solving
24 + 3y = 14 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
24 + 3y + 9y = 14 + -9y + 9y

Combine like terms: 3y + 9y = 12y
24 + 12y = 14 + -9y + 9y

Combine like terms: -9y + 9y = 0
24 + 12y = 14 + 0
24 + 12y = 14

Add '-24' to each side of the equation.
24 + -24 + 12y = 14 + -24

Combine like terms: 24 + -24 = 0
0 + 12y = 14 + -24
12y = 14 + -24

Combine like terms: 14 + -24 = -10
12y = -10

Divide each side by '12'.
y = -0.8333333333

Simplifying
y = -0.8333333333

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