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

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


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

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

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

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

Reorder the terms:
-45 + 5y = 6(8 + 4y) + -7y
-45 + 5y = (8 * 6 + 4y * 6) + -7y
-45 + 5y = (48 + 24y) + -7y

Combine like terms: 24y + -7y = 17y
-45 + 5y = 48 + 17y

Solving
-45 + 5y = 48 + 17y

Solving for variable 'y'.

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

Add '-17y' to each side of the equation.
-45 + 5y + -17y = 48 + 17y + -17y

Combine like terms: 5y + -17y = -12y
-45 + -12y = 48 + 17y + -17y

Combine like terms: 17y + -17y = 0
-45 + -12y = 48 + 0
-45 + -12y = 48

Add '45' to each side of the equation.
-45 + 45 + -12y = 48 + 45

Combine like terms: -45 + 45 = 0
0 + -12y = 48 + 45
-12y = 48 + 45

Combine like terms: 48 + 45 = 93
-12y = 93

Divide each side by '-12'.
y = -7.75

Simplifying
y = -7.75

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