2+2(-8y+7)=3(-6y-8)+4

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Solution for 2+2(-8y+7)=3(-6y-8)+4 equation: 


Simplifying
2 + 2(-8y + 7) = 3(-6y + -8) + 4

Reorder the terms:
2 + 2(7 + -8y) = 3(-6y + -8) + 4
2 + (7 * 2 + -8y * 2) = 3(-6y + -8) + 4
2 + (14 + -16y) = 3(-6y + -8) + 4

Combine like terms: 2 + 14 = 16
16 + -16y = 3(-6y + -8) + 4

Reorder the terms:
16 + -16y = 3(-8 + -6y) + 4
16 + -16y = (-8 * 3 + -6y * 3) + 4
16 + -16y = (-24 + -18y) + 4

Reorder the terms:
16 + -16y = -24 + 4 + -18y

Combine like terms: -24 + 4 = -20
16 + -16y = -20 + -18y

Solving
16 + -16y = -20 + -18y

Solving for variable 'y'.

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

Add '18y' to each side of the equation.
16 + -16y + 18y = -20 + -18y + 18y

Combine like terms: -16y + 18y = 2y
16 + 2y = -20 + -18y + 18y

Combine like terms: -18y + 18y = 0
16 + 2y = -20 + 0
16 + 2y = -20

Add '-16' to each side of the equation.
16 + -16 + 2y = -20 + -16

Combine like terms: 16 + -16 = 0
0 + 2y = -20 + -16
2y = -20 + -16

Combine like terms: -20 + -16 = -36
2y = -36

Divide each side by '2'.
y = -18

Simplifying
y = -18

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