2(y+2)=9y-45

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Solution for 2(y+2)=9y-45 equation: 


Simplifying
2(y + 2) = 9y + -45

Reorder the terms:
2(2 + y) = 9y + -45
(2 * 2 + y * 2) = 9y + -45
(4 + 2y) = 9y + -45

Reorder the terms:
4 + 2y = -45 + 9y

Solving
4 + 2y = -45 + 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.
4 + 2y + -9y = -45 + 9y + -9y

Combine like terms: 2y + -9y = -7y
4 + -7y = -45 + 9y + -9y

Combine like terms: 9y + -9y = 0
4 + -7y = -45 + 0
4 + -7y = -45

Add '-4' to each side of the equation.
4 + -4 + -7y = -45 + -4

Combine like terms: 4 + -4 = 0
0 + -7y = -45 + -4
-7y = -45 + -4

Combine like terms: -45 + -4 = -49
-7y = -49

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

Simplifying
y = 7

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