5(y-8)-5=-6(-4+8)-7y

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Solution for 5(y-8)-5=-6(-4+8)-7y equation:


Simplifying
5(y + -8) + -5 = -6(-4 + 8) + -7y

Reorder the terms:
5(-8 + y) + -5 = -6(-4 + 8) + -7y
(-8 * 5 + y * 5) + -5 = -6(-4 + 8) + -7y
(-40 + 5y) + -5 = -6(-4 + 8) + -7y

Reorder the terms:
-40 + -5 + 5y = -6(-4 + 8) + -7y

Combine like terms: -40 + -5 = -45
-45 + 5y = -6(-4 + 8) + -7y

Combine like terms: -4 + 8 = 4
-45 + 5y = -6(4) + -7y

Multiply -6 * 4
-45 + 5y = -24 + -7y

Solving
-45 + 5y = -24 + -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.
-45 + 5y + 7y = -24 + -7y + 7y

Combine like terms: 5y + 7y = 12y
-45 + 12y = -24 + -7y + 7y

Combine like terms: -7y + 7y = 0
-45 + 12y = -24 + 0
-45 + 12y = -24

Add '45' to each side of the equation.
-45 + 45 + 12y = -24 + 45

Combine like terms: -45 + 45 = 0
0 + 12y = -24 + 45
12y = -24 + 45

Combine like terms: -24 + 45 = 21
12y = 21

Divide each side by '12'.
y = 1.75

Simplifying
y = 1.75

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