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

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


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

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

Reorder the terms:
12 + -3y = -5(2 + y)
12 + -3y = (2 * -5 + y * -5)
12 + -3y = (-10 + -5y)

Solving
12 + -3y = -10 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
12 + -3y + 5y = -10 + -5y + 5y

Combine like terms: -3y + 5y = 2y
12 + 2y = -10 + -5y + 5y

Combine like terms: -5y + 5y = 0
12 + 2y = -10 + 0
12 + 2y = -10

Add '-12' to each side of the equation.
12 + -12 + 2y = -10 + -12

Combine like terms: 12 + -12 = 0
0 + 2y = -10 + -12
2y = -10 + -12

Combine like terms: -10 + -12 = -22
2y = -22

Divide each side by '2'.
y = -11

Simplifying
y = -11

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