2(y+2)=-3(7y-3)+8y

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Solution for 2(y+2)=-3(7y-3)+8y equation:


Simplifying
2(y + 2) = -3(7y + -3) + 8y

Reorder the terms:
2(2 + y) = -3(7y + -3) + 8y
(2 * 2 + y * 2) = -3(7y + -3) + 8y
(4 + 2y) = -3(7y + -3) + 8y

Reorder the terms:
4 + 2y = -3(-3 + 7y) + 8y
4 + 2y = (-3 * -3 + 7y * -3) + 8y
4 + 2y = (9 + -21y) + 8y

Combine like terms: -21y + 8y = -13y
4 + 2y = 9 + -13y

Solving
4 + 2y = 9 + -13y

Solving for variable 'y'.

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

Add '13y' to each side of the equation.
4 + 2y + 13y = 9 + -13y + 13y

Combine like terms: 2y + 13y = 15y
4 + 15y = 9 + -13y + 13y

Combine like terms: -13y + 13y = 0
4 + 15y = 9 + 0
4 + 15y = 9

Add '-4' to each side of the equation.
4 + -4 + 15y = 9 + -4

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

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

Divide each side by '15'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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