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

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


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

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

Reorder the terms:
15 + 3y = 5(4 + y)
15 + 3y = (4 * 5 + y * 5)
15 + 3y = (20 + 5y)

Solving
15 + 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.
15 + 3y + -5y = 20 + 5y + -5y

Combine like terms: 3y + -5y = -2y
15 + -2y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
15 + -2y = 20 + 0
15 + -2y = 20

Add '-15' to each side of the equation.
15 + -15 + -2y = 20 + -15

Combine like terms: 15 + -15 = 0
0 + -2y = 20 + -15
-2y = 20 + -15

Combine like terms: 20 + -15 = 5
-2y = 5

Divide each side by '-2'.
y = -2.5

Simplifying
y = -2.5

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