3(y+3)=-3(3y-1)+8y

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Solution for 3(y+3)=-3(3y-1)+8y equation:


Simplifying
3(y + 3) = -3(3y + -1) + 8y

Reorder the terms:
3(3 + y) = -3(3y + -1) + 8y
(3 * 3 + y * 3) = -3(3y + -1) + 8y
(9 + 3y) = -3(3y + -1) + 8y

Reorder the terms:
9 + 3y = -3(-1 + 3y) + 8y
9 + 3y = (-1 * -3 + 3y * -3) + 8y
9 + 3y = (3 + -9y) + 8y

Combine like terms: -9y + 8y = -1y
9 + 3y = 3 + -1y

Solving
9 + 3y = 3 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
9 + 3y + y = 3 + -1y + y

Combine like terms: 3y + y = 4y
9 + 4y = 3 + -1y + y

Combine like terms: -1y + y = 0
9 + 4y = 3 + 0
9 + 4y = 3

Add '-9' to each side of the equation.
9 + -9 + 4y = 3 + -9

Combine like terms: 9 + -9 = 0
0 + 4y = 3 + -9
4y = 3 + -9

Combine like terms: 3 + -9 = -6
4y = -6

Divide each side by '4'.
y = -1.5

Simplifying
y = -1.5

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