5(y-8)=-6y-7

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Solution for 5(y-8)=-6y-7 equation:


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

Reorder the terms:
5(-8 + y) = -6y + -7
(-8 * 5 + y * 5) = -6y + -7
(-40 + 5y) = -6y + -7

Reorder the terms:
-40 + 5y = -7 + -6y

Solving
-40 + 5y = -7 + -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.
-40 + 5y + 6y = -7 + -6y + 6y

Combine like terms: 5y + 6y = 11y
-40 + 11y = -7 + -6y + 6y

Combine like terms: -6y + 6y = 0
-40 + 11y = -7 + 0
-40 + 11y = -7

Add '40' to each side of the equation.
-40 + 40 + 11y = -7 + 40

Combine like terms: -40 + 40 = 0
0 + 11y = -7 + 40
11y = -7 + 40

Combine like terms: -7 + 40 = 33
11y = 33

Divide each side by '11'.
y = 3

Simplifying
y = 3

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