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 = 3y
14 + 3y = 16 + -24y + 24y

Combine like terms: -24y + 24y = 0
14 + 3y = 16 + 0
14 + 3y = 16

Add '-14' to each side of the equation.
14 + -14 + 3y = 16 + -14

Combine like terms: 14 + -14 = 0
0 + 3y = 16 + -14
3y = 16 + -14

Combine like terms: 16 + -14 = 2
3y = 2

Divide each side by '3'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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