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

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


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

Reorder the terms:
7(-1 + y) + -4(1 + 2y) = y + -11
(-1 * 7 + y * 7) + -4(1 + 2y) = y + -11
(-7 + 7y) + -4(1 + 2y) = y + -11
-7 + 7y + (1 * -4 + 2y * -4) = y + -11
-7 + 7y + (-4 + -8y) = y + -11

Reorder the terms:
-7 + -4 + 7y + -8y = y + -11

Combine like terms: -7 + -4 = -11
-11 + 7y + -8y = y + -11

Combine like terms: 7y + -8y = -1y
-11 + -1y = y + -11

Reorder the terms:
-11 + -1y = -11 + y

Add '11' to each side of the equation.
-11 + 11 + -1y = -11 + 11 + y

Combine like terms: -11 + 11 = 0
0 + -1y = -11 + 11 + y
-1y = -11 + 11 + y

Combine like terms: -11 + 11 = 0
-1y = 0 + y
-1y = y

Solving
-1y = y

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.
-1y + -1y = y + -1y

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

Combine like terms: y + -1y = 0
-2y = 0

Divide each side by '-2'.
y = 0

Simplifying
y = 0

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