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

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


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

Reorder the terms:
4(-2 + 2y) + 11 = 3(y + -1) + -1(2y + 4)
(-2 * 4 + 2y * 4) + 11 = 3(y + -1) + -1(2y + 4)
(-8 + 8y) + 11 = 3(y + -1) + -1(2y + 4)

Reorder the terms:
-8 + 11 + 8y = 3(y + -1) + -1(2y + 4)

Combine like terms: -8 + 11 = 3
3 + 8y = 3(y + -1) + -1(2y + 4)

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

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

Reorder the terms:
3 + 8y = -3 + -4 + 3y + -2y

Combine like terms: -3 + -4 = -7
3 + 8y = -7 + 3y + -2y

Combine like terms: 3y + -2y = 1y
3 + 8y = -7 + 1y

Solving
3 + 8y = -7 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
3 + 8y + -1y = -7 + 1y + -1y

Combine like terms: 8y + -1y = 7y
3 + 7y = -7 + 1y + -1y

Combine like terms: 1y + -1y = 0
3 + 7y = -7 + 0
3 + 7y = -7

Add '-3' to each side of the equation.
3 + -3 + 7y = -7 + -3

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

Combine like terms: -7 + -3 = -10
7y = -10

Divide each side by '7'.
y = -1.428571429

Simplifying
y = -1.428571429

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