4(y+6)=5(y-3)

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Solution for 4(y+6)=5(y-3) equation:


Simplifying
4(y + 6) = 5(y + -3)

Reorder the terms:
4(6 + y) = 5(y + -3)
(6 * 4 + y * 4) = 5(y + -3)
(24 + 4y) = 5(y + -3)

Reorder the terms:
24 + 4y = 5(-3 + y)
24 + 4y = (-3 * 5 + y * 5)
24 + 4y = (-15 + 5y)

Solving
24 + 4y = -15 + 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.
24 + 4y + -5y = -15 + 5y + -5y

Combine like terms: 4y + -5y = -1y
24 + -1y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
24 + -1y = -15 + 0
24 + -1y = -15

Add '-24' to each side of the equation.
24 + -24 + -1y = -15 + -24

Combine like terms: 24 + -24 = 0
0 + -1y = -15 + -24
-1y = -15 + -24

Combine like terms: -15 + -24 = -39
-1y = -39

Divide each side by '-1'.
y = 39

Simplifying
y = 39

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