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

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


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

Reorder the terms:
7(2 + -3y) = 8(-2y + -3) + -2
(2 * 7 + -3y * 7) = 8(-2y + -3) + -2
(14 + -21y) = 8(-2y + -3) + -2

Reorder the terms:
14 + -21y = 8(-3 + -2y) + -2
14 + -21y = (-3 * 8 + -2y * 8) + -2
14 + -21y = (-24 + -16y) + -2

Reorder the terms:
14 + -21y = -24 + -2 + -16y

Combine like terms: -24 + -2 = -26
14 + -21y = -26 + -16y

Solving
14 + -21y = -26 + -16y

Solving for variable 'y'.

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

Add '16y' to each side of the equation.
14 + -21y + 16y = -26 + -16y + 16y

Combine like terms: -21y + 16y = -5y
14 + -5y = -26 + -16y + 16y

Combine like terms: -16y + 16y = 0
14 + -5y = -26 + 0
14 + -5y = -26

Add '-14' to each side of the equation.
14 + -14 + -5y = -26 + -14

Combine like terms: 14 + -14 = 0
0 + -5y = -26 + -14
-5y = -26 + -14

Combine like terms: -26 + -14 = -40
-5y = -40

Divide each side by '-5'.
y = 8

Simplifying
y = 8

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