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

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


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

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

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

Solving
9 + 3y = 20 + 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.
9 + 3y + -5y = 20 + 5y + -5y

Combine like terms: 3y + -5y = -2y
9 + -2y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
9 + -2y = 20 + 0
9 + -2y = 20

Add '-9' to each side of the equation.
9 + -9 + -2y = 20 + -9

Combine like terms: 9 + -9 = 0
0 + -2y = 20 + -9
-2y = 20 + -9

Combine like terms: 20 + -9 = 11
-2y = 11

Divide each side by '-2'.
y = -5.5

Simplifying
y = -5.5

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