.75(2+2y)=3(4y-4)

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Solution for .75(2+2y)=3(4y-4) equation: 


Simplifying
0.75(2 + 2y) = 3(4y + -4)
(2 * 0.75 + 2y * 0.75) = 3(4y + -4)
(1.5 + 1.5y) = 3(4y + -4)

Reorder the terms:
1.5 + 1.5y = 3(-4 + 4y)
1.5 + 1.5y = (-4 * 3 + 4y * 3)
1.5 + 1.5y = (-12 + 12y)

Solving
1.5 + 1.5y = -12 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
1.5 + 1.5y + -12y = -12 + 12y + -12y

Combine like terms: 1.5y + -12y = -10.5y
1.5 + -10.5y = -12 + 12y + -12y

Combine like terms: 12y + -12y = 0
1.5 + -10.5y = -12 + 0
1.5 + -10.5y = -12

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -10.5y = -12 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -10.5y = -12 + -1.5
-10.5y = -12 + -1.5

Combine like terms: -12 + -1.5 = -13.5
-10.5y = -13.5

Divide each side by '-10.5'.
y = 1.285714286

Simplifying
y = 1.285714286

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