-7y-4=-3(y-4)

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Solution for -7y-4=-3(y-4) equation:


Simplifying
-7y + -4 = -3(y + -4)

Reorder the terms:
-4 + -7y = -3(y + -4)

Reorder the terms:
-4 + -7y = -3(-4 + y)
-4 + -7y = (-4 * -3 + y * -3)
-4 + -7y = (12 + -3y)

Solving
-4 + -7y = 12 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-4 + -7y + 3y = 12 + -3y + 3y

Combine like terms: -7y + 3y = -4y
-4 + -4y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
-4 + -4y = 12 + 0
-4 + -4y = 12

Add '4' to each side of the equation.
-4 + 4 + -4y = 12 + 4

Combine like terms: -4 + 4 = 0
0 + -4y = 12 + 4
-4y = 12 + 4

Combine like terms: 12 + 4 = 16
-4y = 16

Divide each side by '-4'.
y = -4

Simplifying
y = -4

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