3(y+5)=4(y-8)

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Solution for 3(y+5)=4(y-8) equation: 


Simplifying
3(y + 5) = 4(y + -8)

Reorder the terms:
3(5 + y) = 4(y + -8)
(5 * 3 + y * 3) = 4(y + -8)
(15 + 3y) = 4(y + -8)

Reorder the terms:
15 + 3y = 4(-8 + y)
15 + 3y = (-8 * 4 + y * 4)
15 + 3y = (-32 + 4y)

Solving
15 + 3y = -32 + 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 + 3y + -4y = -32 + 4y + -4y

Combine like terms: 3y + -4y = -1y
15 + -1y = -32 + 4y + -4y

Combine like terms: 4y + -4y = 0
15 + -1y = -32 + 0
15 + -1y = -32

Add '-15' to each side of the equation.
15 + -15 + -1y = -32 + -15

Combine like terms: 15 + -15 = 0
0 + -1y = -32 + -15
-1y = -32 + -15

Combine like terms: -32 + -15 = -47
-1y = -47

Divide each side by '-1'.
y = 47

Simplifying
y = 47

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