-2(y-6)=3(7-y)-5

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Solution for -2(y-6)=3(7-y)-5 equation: 


Simplifying
-2(y + -6) = 3(7 + -1y) + -5

Reorder the terms:
-2(-6 + y) = 3(7 + -1y) + -5
(-6 * -2 + y * -2) = 3(7 + -1y) + -5
(12 + -2y) = 3(7 + -1y) + -5
12 + -2y = (7 * 3 + -1y * 3) + -5
12 + -2y = (21 + -3y) + -5

Reorder the terms:
12 + -2y = 21 + -5 + -3y

Combine like terms: 21 + -5 = 16
12 + -2y = 16 + -3y

Solving
12 + -2y = 16 + -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.
12 + -2y + 3y = 16 + -3y + 3y

Combine like terms: -2y + 3y = 1y
12 + 1y = 16 + -3y + 3y

Combine like terms: -3y + 3y = 0
12 + 1y = 16 + 0
12 + 1y = 16

Add '-12' to each side of the equation.
12 + -12 + 1y = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 1y = 16 + -12
1y = 16 + -12

Combine like terms: 16 + -12 = 4
1y = 4

Divide each side by '1'.
y = 4

Simplifying
y = 4

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