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

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


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

Reorder the terms:
7(8 + y) = -6(2y + -7) + y
(8 * 7 + y * 7) = -6(2y + -7) + y
(56 + 7y) = -6(2y + -7) + y

Reorder the terms:
56 + 7y = -6(-7 + 2y) + y
56 + 7y = (-7 * -6 + 2y * -6) + y
56 + 7y = (42 + -12y) + y

Combine like terms: -12y + y = -11y
56 + 7y = 42 + -11y

Solving
56 + 7y = 42 + -11y

Solving for variable 'y'.

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

Add '11y' to each side of the equation.
56 + 7y + 11y = 42 + -11y + 11y

Combine like terms: 7y + 11y = 18y
56 + 18y = 42 + -11y + 11y

Combine like terms: -11y + 11y = 0
56 + 18y = 42 + 0
56 + 18y = 42

Add '-56' to each side of the equation.
56 + -56 + 18y = 42 + -56

Combine like terms: 56 + -56 = 0
0 + 18y = 42 + -56
18y = 42 + -56

Combine like terms: 42 + -56 = -14
18y = -14

Divide each side by '18'.
y = -0.7777777778

Simplifying
y = -0.7777777778

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