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

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


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

Reorder the terms:
4(4 + y) = -2(2y + -9) + 4y
(4 * 4 + y * 4) = -2(2y + -9) + 4y
(16 + 4y) = -2(2y + -9) + 4y

Reorder the terms:
16 + 4y = -2(-9 + 2y) + 4y
16 + 4y = (-9 * -2 + 2y * -2) + 4y
16 + 4y = (18 + -4y) + 4y

Combine like terms: -4y + 4y = 0
16 + 4y = 18 + 0
16 + 4y = 18

Solving
16 + 4y = 18

Solving for variable 'y'.

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

Add '-16' to each side of the equation.
16 + -16 + 4y = 18 + -16

Combine like terms: 16 + -16 = 0
0 + 4y = 18 + -16
4y = 18 + -16

Combine like terms: 18 + -16 = 2
4y = 2

Divide each side by '4'.
y = 0.5

Simplifying
y = 0.5

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