2(3y-3)+8=5y-7

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Solution for 2(3y-3)+8=5y-7 equation: 


Simplifying
2(3y + -3) + 8 = 5y + -7

Reorder the terms:
2(-3 + 3y) + 8 = 5y + -7
(-3 * 2 + 3y * 2) + 8 = 5y + -7
(-6 + 6y) + 8 = 5y + -7

Reorder the terms:
-6 + 8 + 6y = 5y + -7

Combine like terms: -6 + 8 = 2
2 + 6y = 5y + -7

Reorder the terms:
2 + 6y = -7 + 5y

Solving
2 + 6y = -7 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
2 + 6y + -5y = -7 + 5y + -5y

Combine like terms: 6y + -5y = 1y
2 + 1y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
2 + 1y = -7 + 0
2 + 1y = -7

Add '-2' to each side of the equation.
2 + -2 + 1y = -7 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = -7 + -2
1y = -7 + -2

Combine like terms: -7 + -2 = -9
1y = -9

Divide each side by '1'.
y = -9

Simplifying
y = -9

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