-3(4y-4)=2(1-7y)+11

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Solution for -3(4y-4)=2(1-7y)+11 equation:


Simplifying
-3(4y + -4) = 2(1 + -7y) + 11

Reorder the terms:
-3(-4 + 4y) = 2(1 + -7y) + 11
(-4 * -3 + 4y * -3) = 2(1 + -7y) + 11
(12 + -12y) = 2(1 + -7y) + 11
12 + -12y = (1 * 2 + -7y * 2) + 11
12 + -12y = (2 + -14y) + 11

Reorder the terms:
12 + -12y = 2 + 11 + -14y

Combine like terms: 2 + 11 = 13
12 + -12y = 13 + -14y

Solving
12 + -12y = 13 + -14y

Solving for variable 'y'.

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

Add '14y' to each side of the equation.
12 + -12y + 14y = 13 + -14y + 14y

Combine like terms: -12y + 14y = 2y
12 + 2y = 13 + -14y + 14y

Combine like terms: -14y + 14y = 0
12 + 2y = 13 + 0
12 + 2y = 13

Add '-12' to each side of the equation.
12 + -12 + 2y = 13 + -12

Combine like terms: 12 + -12 = 0
0 + 2y = 13 + -12
2y = 13 + -12

Combine like terms: 13 + -12 = 1
2y = 1

Divide each side by '2'.
y = 0.5

Simplifying
y = 0.5

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