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

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


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

Reorder the terms:
3(3 + y) = 4(y + -5)
(3 * 3 + y * 3) = 4(y + -5)
(9 + 3y) = 4(y + -5)

Reorder the terms:
9 + 3y = 4(-5 + y)
9 + 3y = (-5 * 4 + y * 4)
9 + 3y = (-20 + 4y)

Solving
9 + 3y = -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.
9 + 3y + -4y = -20 + 4y + -4y

Combine like terms: 3y + -4y = -1y
9 + -1y = -20 + 4y + -4y

Combine like terms: 4y + -4y = 0
9 + -1y = -20 + 0
9 + -1y = -20

Add '-9' to each side of the equation.
9 + -9 + -1y = -20 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = -20 + -9
-1y = -20 + -9

Combine like terms: -20 + -9 = -29
-1y = -29

Divide each side by '-1'.
y = 29

Simplifying
y = 29

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