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

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


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

Reorder the terms:
2(9 + 8y) = 9y + -3
(9 * 2 + 8y * 2) = 9y + -3
(18 + 16y) = 9y + -3

Reorder the terms:
18 + 16y = -3 + 9y

Solving
18 + 16y = -3 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
18 + 16y + -9y = -3 + 9y + -9y

Combine like terms: 16y + -9y = 7y
18 + 7y = -3 + 9y + -9y

Combine like terms: 9y + -9y = 0
18 + 7y = -3 + 0
18 + 7y = -3

Add '-18' to each side of the equation.
18 + -18 + 7y = -3 + -18

Combine like terms: 18 + -18 = 0
0 + 7y = -3 + -18
7y = -3 + -18

Combine like terms: -3 + -18 = -21
7y = -21

Divide each side by '7'.
y = -3

Simplifying
y = -3

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