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

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


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

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

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

Remove parenthesis around (-5 + 2y)
15 + 15y = -5 + 2y

Solving
15 + 15y = -5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
15 + 15y + -2y = -5 + 2y + -2y

Combine like terms: 15y + -2y = 13y
15 + 13y = -5 + 2y + -2y

Combine like terms: 2y + -2y = 0
15 + 13y = -5 + 0
15 + 13y = -5

Add '-15' to each side of the equation.
15 + -15 + 13y = -5 + -15

Combine like terms: 15 + -15 = 0
0 + 13y = -5 + -15
13y = -5 + -15

Combine like terms: -5 + -15 = -20
13y = -20

Divide each side by '13'.
y = -1.538461538

Simplifying
y = -1.538461538

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