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

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


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

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

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

Solving
14 + -21y = -16 + 24y

Solving for variable 'y'.

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

Add '-24y' to each side of the equation.
14 + -21y + -24y = -16 + 24y + -24y

Combine like terms: -21y + -24y = -45y
14 + -45y = -16 + 24y + -24y

Combine like terms: 24y + -24y = 0
14 + -45y = -16 + 0
14 + -45y = -16

Add '-14' to each side of the equation.
14 + -14 + -45y = -16 + -14

Combine like terms: 14 + -14 = 0
0 + -45y = -16 + -14
-45y = -16 + -14

Combine like terms: -16 + -14 = -30
-45y = -30

Divide each side by '-45'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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