15(4+3y)=9y-(8-5y)

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Solution for 15(4+3y)=9y-(8-5y) equation:


Simplifying
15(4 + 3y) = 9y + -1(8 + -5y)
(4 * 15 + 3y * 15) = 9y + -1(8 + -5y)
(60 + 45y) = 9y + -1(8 + -5y)
60 + 45y = 9y + (8 * -1 + -5y * -1)
60 + 45y = 9y + (-8 + 5y)

Reorder the terms:
60 + 45y = -8 + 9y + 5y

Combine like terms: 9y + 5y = 14y
60 + 45y = -8 + 14y

Solving
60 + 45y = -8 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
60 + 45y + -14y = -8 + 14y + -14y

Combine like terms: 45y + -14y = 31y
60 + 31y = -8 + 14y + -14y

Combine like terms: 14y + -14y = 0
60 + 31y = -8 + 0
60 + 31y = -8

Add '-60' to each side of the equation.
60 + -60 + 31y = -8 + -60

Combine like terms: 60 + -60 = 0
0 + 31y = -8 + -60
31y = -8 + -60

Combine like terms: -8 + -60 = -68
31y = -68

Divide each side by '31'.
y = -2.193548387

Simplifying
y = -2.193548387

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