-4(2y-3)=-4(y-5)

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Solution for -4(2y-3)=-4(y-5) equation:


Simplifying
-4(2y + -3) = -4(y + -5)

Reorder the terms:
-4(-3 + 2y) = -4(y + -5)
(-3 * -4 + 2y * -4) = -4(y + -5)
(12 + -8y) = -4(y + -5)

Reorder the terms:
12 + -8y = -4(-5 + y)
12 + -8y = (-5 * -4 + y * -4)
12 + -8y = (20 + -4y)

Solving
12 + -8y = 20 + -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.
12 + -8y + 4y = 20 + -4y + 4y

Combine like terms: -8y + 4y = -4y
12 + -4y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
12 + -4y = 20 + 0
12 + -4y = 20

Add '-12' to each side of the equation.
12 + -12 + -4y = 20 + -12

Combine like terms: 12 + -12 = 0
0 + -4y = 20 + -12
-4y = 20 + -12

Combine like terms: 20 + -12 = 8
-4y = 8

Divide each side by '-4'.
y = -2

Simplifying
y = -2

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