2(y-9)=-5y-4

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Solution for 2(y-9)=-5y-4 equation: 


Simplifying
2(y + -9) = -5y + -4

Reorder the terms:
2(-9 + y) = -5y + -4
(-9 * 2 + y * 2) = -5y + -4
(-18 + 2y) = -5y + -4

Reorder the terms:
-18 + 2y = -4 + -5y

Solving
-18 + 2y = -4 + -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 = -4 + -5y + 5y

Combine like terms: 2y + 5y = 7y
-18 + 7y = -4 + -5y + 5y

Combine like terms: -5y + 5y = 0
-18 + 7y = -4 + 0
-18 + 7y = -4

Add '18' to each side of the equation.
-18 + 18 + 7y = -4 + 18

Combine like terms: -18 + 18 = 0
0 + 7y = -4 + 18
7y = -4 + 18

Combine like terms: -4 + 18 = 14
7y = 14

Divide each side by '7'.
y = 2

Simplifying
y = 2

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