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

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


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

Reorder the terms:
-4(-4 + y) = -3y + -7
(-4 * -4 + y * -4) = -3y + -7
(16 + -4y) = -3y + -7

Reorder the terms:
16 + -4y = -7 + -3y

Solving
16 + -4y = -7 + -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.
16 + -4y + 3y = -7 + -3y + 3y

Combine like terms: -4y + 3y = -1y
16 + -1y = -7 + -3y + 3y

Combine like terms: -3y + 3y = 0
16 + -1y = -7 + 0
16 + -1y = -7

Add '-16' to each side of the equation.
16 + -16 + -1y = -7 + -16

Combine like terms: 16 + -16 = 0
0 + -1y = -7 + -16
-1y = -7 + -16

Combine like terms: -7 + -16 = -23
-1y = -23

Divide each side by '-1'.
y = 23

Simplifying
y = 23

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