3(y+6)=-2(8y-5)+7y

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Solution for 3(y+6)=-2(8y-5)+7y equation:


Simplifying
3(y + 6) = -2(8y + -5) + 7y

Reorder the terms:
3(6 + y) = -2(8y + -5) + 7y
(6 * 3 + y * 3) = -2(8y + -5) + 7y
(18 + 3y) = -2(8y + -5) + 7y

Reorder the terms:
18 + 3y = -2(-5 + 8y) + 7y
18 + 3y = (-5 * -2 + 8y * -2) + 7y
18 + 3y = (10 + -16y) + 7y

Combine like terms: -16y + 7y = -9y
18 + 3y = 10 + -9y

Solving
18 + 3y = 10 + -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.
18 + 3y + 9y = 10 + -9y + 9y

Combine like terms: 3y + 9y = 12y
18 + 12y = 10 + -9y + 9y

Combine like terms: -9y + 9y = 0
18 + 12y = 10 + 0
18 + 12y = 10

Add '-18' to each side of the equation.
18 + -18 + 12y = 10 + -18

Combine like terms: 18 + -18 = 0
0 + 12y = 10 + -18
12y = 10 + -18

Combine like terms: 10 + -18 = -8
12y = -8

Divide each side by '12'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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