3(2y-5)=5(y+2)

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Solution for 3(2y-5)=5(y+2) equation: 


Simplifying
3(2y + -5) = 5(y + 2)

Reorder the terms:
3(-5 + 2y) = 5(y + 2)
(-5 * 3 + 2y * 3) = 5(y + 2)
(-15 + 6y) = 5(y + 2)

Reorder the terms:
-15 + 6y = 5(2 + y)
-15 + 6y = (2 * 5 + y * 5)
-15 + 6y = (10 + 5y)

Solving
-15 + 6y = 10 + 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 + 6y + -5y = 10 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-15 + 1y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-15 + 1y = 10 + 0
-15 + 1y = 10

Add '15' to each side of the equation.
-15 + 15 + 1y = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 1y = 10 + 15
1y = 10 + 15

Combine like terms: 10 + 15 = 25
1y = 25

Divide each side by '1'.
y = 25

Simplifying
y = 25

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