3(y+5)=-2(6y-5)+5y

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Solution for 3(y+5)=-2(6y-5)+5y equation: 


Simplifying
3(y + 5) = -2(6y + -5) + 5y

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

Reorder the terms:
15 + 3y = -2(-5 + 6y) + 5y
15 + 3y = (-5 * -2 + 6y * -2) + 5y
15 + 3y = (10 + -12y) + 5y

Combine like terms: -12y + 5y = -7y
15 + 3y = 10 + -7y

Solving
15 + 3y = 10 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
15 + 3y + 7y = 10 + -7y + 7y

Combine like terms: 3y + 7y = 10y
15 + 10y = 10 + -7y + 7y

Combine like terms: -7y + 7y = 0
15 + 10y = 10 + 0
15 + 10y = 10

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

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

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

Divide each side by '10'.
y = -0.5

Simplifying
y = -0.5

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