-7y-11=-4(y-4)

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


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

Reorder the terms:
-11 + -7y = -4(y + -4)

Reorder the terms:
-11 + -7y = -4(-4 + y)
-11 + -7y = (-4 * -4 + y * -4)
-11 + -7y = (16 + -4y)

Solving
-11 + -7y = 16 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-11 + -7y + 4y = 16 + -4y + 4y

Combine like terms: -7y + 4y = -3y
-11 + -3y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
-11 + -3y = 16 + 0
-11 + -3y = 16

Add '11' to each side of the equation.
-11 + 11 + -3y = 16 + 11

Combine like terms: -11 + 11 = 0
0 + -3y = 16 + 11
-3y = 16 + 11

Combine like terms: 16 + 11 = 27
-3y = 27

Divide each side by '-3'.
y = -9

Simplifying
y = -9

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