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

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


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

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

Reorder the terms:
-9 + -3y = -3(-2 + 7y) + 8y
-9 + -3y = (-2 * -3 + 7y * -3) + 8y
-9 + -3y = (6 + -21y) + 8y

Combine like terms: -21y + 8y = -13y
-9 + -3y = 6 + -13y

Solving
-9 + -3y = 6 + -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.
-9 + -3y + 13y = 6 + -13y + 13y

Combine like terms: -3y + 13y = 10y
-9 + 10y = 6 + -13y + 13y

Combine like terms: -13y + 13y = 0
-9 + 10y = 6 + 0
-9 + 10y = 6

Add '9' to each side of the equation.
-9 + 9 + 10y = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 10y = 6 + 9
10y = 6 + 9

Combine like terms: 6 + 9 = 15
10y = 15

Divide each side by '10'.
y = 1.5

Simplifying
y = 1.5

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