9(y+3)=8y-2

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Solution for 9(y+3)=8y-2 equation:


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

Reorder the terms:
9(3 + y) = 8y + -2
(3 * 9 + y * 9) = 8y + -2
(27 + 9y) = 8y + -2

Reorder the terms:
27 + 9y = -2 + 8y

Solving
27 + 9y = -2 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
27 + 9y + -8y = -2 + 8y + -8y

Combine like terms: 9y + -8y = 1y
27 + 1y = -2 + 8y + -8y

Combine like terms: 8y + -8y = 0
27 + 1y = -2 + 0
27 + 1y = -2

Add '-27' to each side of the equation.
27 + -27 + 1y = -2 + -27

Combine like terms: 27 + -27 = 0
0 + 1y = -2 + -27
1y = -2 + -27

Combine like terms: -2 + -27 = -29
1y = -29

Divide each side by '1'.
y = -29

Simplifying
y = -29

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