3+3(3y-1)=-2(5y-2)+7y

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Solution for 3+3(3y-1)=-2(5y-2)+7y equation:


Simplifying
3 + 3(3y + -1) = -2(5y + -2) + 7y

Reorder the terms:
3 + 3(-1 + 3y) = -2(5y + -2) + 7y
3 + (-1 * 3 + 3y * 3) = -2(5y + -2) + 7y
3 + (-3 + 9y) = -2(5y + -2) + 7y

Combine like terms: 3 + -3 = 0
0 + 9y = -2(5y + -2) + 7y
9y = -2(5y + -2) + 7y

Reorder the terms:
9y = -2(-2 + 5y) + 7y
9y = (-2 * -2 + 5y * -2) + 7y
9y = (4 + -10y) + 7y

Combine like terms: -10y + 7y = -3y
9y = 4 + -3y

Solving
9y = 4 + -3y

Solving for variable 'y'.

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

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

Combine like terms: 9y + 3y = 12y
12y = 4 + -3y + 3y

Combine like terms: -3y + 3y = 0
12y = 4 + 0
12y = 4

Divide each side by '12'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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