-5(y-3)=4y-39

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Solution for -5(y-3)=4y-39 equation:


Simplifying
-5(y + -3) = 4y + -39

Reorder the terms:
-5(-3 + y) = 4y + -39
(-3 * -5 + y * -5) = 4y + -39
(15 + -5y) = 4y + -39

Reorder the terms:
15 + -5y = -39 + 4y

Solving
15 + -5y = -39 + 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.
15 + -5y + -4y = -39 + 4y + -4y

Combine like terms: -5y + -4y = -9y
15 + -9y = -39 + 4y + -4y

Combine like terms: 4y + -4y = 0
15 + -9y = -39 + 0
15 + -9y = -39

Add '-15' to each side of the equation.
15 + -15 + -9y = -39 + -15

Combine like terms: 15 + -15 = 0
0 + -9y = -39 + -15
-9y = -39 + -15

Combine like terms: -39 + -15 = -54
-9y = -54

Divide each side by '-9'.
y = 6

Simplifying
y = 6

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