7(-3y+27)=8(3y-2)

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Solution for 7(-3y+27)=8(3y-2) equation:


Simplifying
7(-3y + 27) = 8(3y + -2)

Reorder the terms:
7(27 + -3y) = 8(3y + -2)
(27 * 7 + -3y * 7) = 8(3y + -2)
(189 + -21y) = 8(3y + -2)

Reorder the terms:
189 + -21y = 8(-2 + 3y)
189 + -21y = (-2 * 8 + 3y * 8)
189 + -21y = (-16 + 24y)

Solving
189 + -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.
189 + -21y + -24y = -16 + 24y + -24y

Combine like terms: -21y + -24y = -45y
189 + -45y = -16 + 24y + -24y

Combine like terms: 24y + -24y = 0
189 + -45y = -16 + 0
189 + -45y = -16

Add '-189' to each side of the equation.
189 + -189 + -45y = -16 + -189

Combine like terms: 189 + -189 = 0
0 + -45y = -16 + -189
-45y = -16 + -189

Combine like terms: -16 + -189 = -205
-45y = -205

Divide each side by '-45'.
y = 4.555555556

Simplifying
y = 4.555555556

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