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

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


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

Reorder the terms:
5(7 + y) = 6(y + -6)
(7 * 5 + y * 5) = 6(y + -6)
(35 + 5y) = 6(y + -6)

Reorder the terms:
35 + 5y = 6(-6 + y)
35 + 5y = (-6 * 6 + y * 6)
35 + 5y = (-36 + 6y)

Solving
35 + 5y = -36 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
35 + 5y + -6y = -36 + 6y + -6y

Combine like terms: 5y + -6y = -1y
35 + -1y = -36 + 6y + -6y

Combine like terms: 6y + -6y = 0
35 + -1y = -36 + 0
35 + -1y = -36

Add '-35' to each side of the equation.
35 + -35 + -1y = -36 + -35

Combine like terms: 35 + -35 = 0
0 + -1y = -36 + -35
-1y = -36 + -35

Combine like terms: -36 + -35 = -71
-1y = -71

Divide each side by '-1'.
y = 71

Simplifying
y = 71

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