7(y-6)-5y=-31

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Solution for 7(y-6)-5y=-31 equation:


Simplifying
7(y + -6) + -5y = -31

Reorder the terms:
7(-6 + y) + -5y = -31
(-6 * 7 + y * 7) + -5y = -31
(-42 + 7y) + -5y = -31

Combine like terms: 7y + -5y = 2y
-42 + 2y = -31

Solving
-42 + 2y = -31

Solving for variable 'y'.

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

Add '42' to each side of the equation.
-42 + 42 + 2y = -31 + 42

Combine like terms: -42 + 42 = 0
0 + 2y = -31 + 42
2y = -31 + 42

Combine like terms: -31 + 42 = 11
2y = 11

Divide each side by '2'.
y = 5.5

Simplifying
y = 5.5

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