-2(6y-7)+3y=8+3(3y-3)

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Solution for -2(6y-7)+3y=8+3(3y-3) equation:


Simplifying
-2(6y + -7) + 3y = 8 + 3(3y + -3)

Reorder the terms:
-2(-7 + 6y) + 3y = 8 + 3(3y + -3)
(-7 * -2 + 6y * -2) + 3y = 8 + 3(3y + -3)
(14 + -12y) + 3y = 8 + 3(3y + -3)

Combine like terms: -12y + 3y = -9y
14 + -9y = 8 + 3(3y + -3)

Reorder the terms:
14 + -9y = 8 + 3(-3 + 3y)
14 + -9y = 8 + (-3 * 3 + 3y * 3)
14 + -9y = 8 + (-9 + 9y)

Combine like terms: 8 + -9 = -1
14 + -9y = -1 + 9y

Solving
14 + -9y = -1 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
14 + -9y + -9y = -1 + 9y + -9y

Combine like terms: -9y + -9y = -18y
14 + -18y = -1 + 9y + -9y

Combine like terms: 9y + -9y = 0
14 + -18y = -1 + 0
14 + -18y = -1

Add '-14' to each side of the equation.
14 + -14 + -18y = -1 + -14

Combine like terms: 14 + -14 = 0
0 + -18y = -1 + -14
-18y = -1 + -14

Combine like terms: -1 + -14 = -15
-18y = -15

Divide each side by '-18'.
y = 0.8333333333

Simplifying
y = 0.8333333333

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