2(y+9)=-5y+32

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Solution for 2(y+9)=-5y+32 equation: 


Simplifying
2(y + 9) = -5y + 32

Reorder the terms:
2(9 + y) = -5y + 32
(9 * 2 + y * 2) = -5y + 32
(18 + 2y) = -5y + 32

Reorder the terms:
18 + 2y = 32 + -5y

Solving
18 + 2y = 32 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
18 + 2y + 5y = 32 + -5y + 5y

Combine like terms: 2y + 5y = 7y
18 + 7y = 32 + -5y + 5y

Combine like terms: -5y + 5y = 0
18 + 7y = 32 + 0
18 + 7y = 32

Add '-18' to each side of the equation.
18 + -18 + 7y = 32 + -18

Combine like terms: 18 + -18 = 0
0 + 7y = 32 + -18
7y = 32 + -18

Combine like terms: 32 + -18 = 14
7y = 14

Divide each side by '7'.
y = 2

Simplifying
y = 2

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