5(y+3)=-3(4y-7)+8y

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Solution for 5(y+3)=-3(4y-7)+8y equation:


Simplifying
5(y + 3) = -3(4y + -7) + 8y

Reorder the terms:
5(3 + y) = -3(4y + -7) + 8y
(3 * 5 + y * 5) = -3(4y + -7) + 8y
(15 + 5y) = -3(4y + -7) + 8y

Reorder the terms:
15 + 5y = -3(-7 + 4y) + 8y
15 + 5y = (-7 * -3 + 4y * -3) + 8y
15 + 5y = (21 + -12y) + 8y

Combine like terms: -12y + 8y = -4y
15 + 5y = 21 + -4y

Solving
15 + 5y = 21 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
15 + 5y + 4y = 21 + -4y + 4y

Combine like terms: 5y + 4y = 9y
15 + 9y = 21 + -4y + 4y

Combine like terms: -4y + 4y = 0
15 + 9y = 21 + 0
15 + 9y = 21

Add '-15' to each side of the equation.
15 + -15 + 9y = 21 + -15

Combine like terms: 15 + -15 = 0
0 + 9y = 21 + -15
9y = 21 + -15

Combine like terms: 21 + -15 = 6
9y = 6

Divide each side by '9'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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