2(2y+4)=-3(4-y)+4y

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Solution for 2(2y+4)=-3(4-y)+4y equation:


Simplifying
2(2y + 4) = -3(4 + -1y) + 4y

Reorder the terms:
2(4 + 2y) = -3(4 + -1y) + 4y
(4 * 2 + 2y * 2) = -3(4 + -1y) + 4y
(8 + 4y) = -3(4 + -1y) + 4y
8 + 4y = (4 * -3 + -1y * -3) + 4y
8 + 4y = (-12 + 3y) + 4y

Combine like terms: 3y + 4y = 7y
8 + 4y = -12 + 7y

Solving
8 + 4y = -12 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
8 + 4y + -7y = -12 + 7y + -7y

Combine like terms: 4y + -7y = -3y
8 + -3y = -12 + 7y + -7y

Combine like terms: 7y + -7y = 0
8 + -3y = -12 + 0
8 + -3y = -12

Add '-8' to each side of the equation.
8 + -8 + -3y = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = -12 + -8
-3y = -12 + -8

Combine like terms: -12 + -8 = -20
-3y = -20

Divide each side by '-3'.
y = 6.666666667

Simplifying
y = 6.666666667

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