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

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


Simplifying
2(y + -8) = 7(6 + -1y) + -3

Reorder the terms:
2(-8 + y) = 7(6 + -1y) + -3
(-8 * 2 + y * 2) = 7(6 + -1y) + -3
(-16 + 2y) = 7(6 + -1y) + -3
-16 + 2y = (6 * 7 + -1y * 7) + -3
-16 + 2y = (42 + -7y) + -3

Reorder the terms:
-16 + 2y = 42 + -3 + -7y

Combine like terms: 42 + -3 = 39
-16 + 2y = 39 + -7y

Solving
-16 + 2y = 39 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-16 + 2y + 7y = 39 + -7y + 7y

Combine like terms: 2y + 7y = 9y
-16 + 9y = 39 + -7y + 7y

Combine like terms: -7y + 7y = 0
-16 + 9y = 39 + 0
-16 + 9y = 39

Add '16' to each side of the equation.
-16 + 16 + 9y = 39 + 16

Combine like terms: -16 + 16 = 0
0 + 9y = 39 + 16
9y = 39 + 16

Combine like terms: 39 + 16 = 55
9y = 55

Divide each side by '9'.
y = 6.111111111

Simplifying
y = 6.111111111

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