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

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


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

Reorder the terms:
6(2 + y) = -2(8y + -7) + 6y
(2 * 6 + y * 6) = -2(8y + -7) + 6y
(12 + 6y) = -2(8y + -7) + 6y

Reorder the terms:
12 + 6y = -2(-7 + 8y) + 6y
12 + 6y = (-7 * -2 + 8y * -2) + 6y
12 + 6y = (14 + -16y) + 6y

Combine like terms: -16y + 6y = -10y
12 + 6y = 14 + -10y

Solving
12 + 6y = 14 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
12 + 6y + 10y = 14 + -10y + 10y

Combine like terms: 6y + 10y = 16y
12 + 16y = 14 + -10y + 10y

Combine like terms: -10y + 10y = 0
12 + 16y = 14 + 0
12 + 16y = 14

Add '-12' to each side of the equation.
12 + -12 + 16y = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 16y = 14 + -12
16y = 14 + -12

Combine like terms: 14 + -12 = 2
16y = 2

Divide each side by '16'.
y = 0.125

Simplifying
y = 0.125

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