-3(y-6)=5(3-y)-7

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Solution for -3(y-6)=5(3-y)-7 equation: 


Simplifying
-3(y + -6) = 5(3 + -1y) + -7

Reorder the terms:
-3(-6 + y) = 5(3 + -1y) + -7
(-6 * -3 + y * -3) = 5(3 + -1y) + -7
(18 + -3y) = 5(3 + -1y) + -7
18 + -3y = (3 * 5 + -1y * 5) + -7
18 + -3y = (15 + -5y) + -7

Reorder the terms:
18 + -3y = 15 + -7 + -5y

Combine like terms: 15 + -7 = 8
18 + -3y = 8 + -5y

Solving
18 + -3y = 8 + -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.
18 + -3y + 5y = 8 + -5y + 5y

Combine like terms: -3y + 5y = 2y
18 + 2y = 8 + -5y + 5y

Combine like terms: -5y + 5y = 0
18 + 2y = 8 + 0
18 + 2y = 8

Add '-18' to each side of the equation.
18 + -18 + 2y = 8 + -18

Combine like terms: 18 + -18 = 0
0 + 2y = 8 + -18
2y = 8 + -18

Combine like terms: 8 + -18 = -10
2y = -10

Divide each side by '2'.
y = -5

Simplifying
y = -5

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