-3(8y-5)+9y=3(y+1)

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Solution for -3(8y-5)+9y=3(y+1) equation:


Simplifying
-3(8y + -5) + 9y = 3(y + 1)

Reorder the terms:
-3(-5 + 8y) + 9y = 3(y + 1)
(-5 * -3 + 8y * -3) + 9y = 3(y + 1)
(15 + -24y) + 9y = 3(y + 1)

Combine like terms: -24y + 9y = -15y
15 + -15y = 3(y + 1)

Reorder the terms:
15 + -15y = 3(1 + y)
15 + -15y = (1 * 3 + y * 3)
15 + -15y = (3 + 3y)

Solving
15 + -15y = 3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
15 + -15y + -3y = 3 + 3y + -3y

Combine like terms: -15y + -3y = -18y
15 + -18y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
15 + -18y = 3 + 0
15 + -18y = 3

Add '-15' to each side of the equation.
15 + -15 + -18y = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -18y = 3 + -15
-18y = 3 + -15

Combine like terms: 3 + -15 = -12
-18y = -12

Divide each side by '-18'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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