3(y+5)=4(2y-5)

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Solution for 3(y+5)=4(2y-5) equation: 


Simplifying
3(y + 5) = 4(2y + -5)

Reorder the terms:
3(5 + y) = 4(2y + -5)
(5 * 3 + y * 3) = 4(2y + -5)
(15 + 3y) = 4(2y + -5)

Reorder the terms:
15 + 3y = 4(-5 + 2y)
15 + 3y = (-5 * 4 + 2y * 4)
15 + 3y = (-20 + 8y)

Solving
15 + 3y = -20 + 8y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-8y' to each side of the equation.
15 + 3y + -8y = -20 + 8y + -8y

Combine like terms: 3y + -8y = -5y
15 + -5y = -20 + 8y + -8y

Combine like terms: 8y + -8y = 0
15 + -5y = -20 + 0
15 + -5y = -20

Add '-15' to each side of the equation.
15 + -15 + -5y = -20 + -15

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

Combine like terms: -20 + -15 = -35
-5y = -35

Divide each side by '-5'.
y = 7

Simplifying
y = 7

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