7(y-8)-5(3y-6)=

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Solution for 7(y-8)-5(3y-6)= equation: 


Simplifying
7(y + -8) + -5(3y + -6) = 0

Reorder the terms:
7(-8 + y) + -5(3y + -6) = 0
(-8 * 7 + y * 7) + -5(3y + -6) = 0
(-56 + 7y) + -5(3y + -6) = 0

Reorder the terms:
-56 + 7y + -5(-6 + 3y) = 0
-56 + 7y + (-6 * -5 + 3y * -5) = 0
-56 + 7y + (30 + -15y) = 0

Reorder the terms:
-56 + 30 + 7y + -15y = 0

Combine like terms: -56 + 30 = -26
-26 + 7y + -15y = 0

Combine like terms: 7y + -15y = -8y
-26 + -8y = 0

Solving
-26 + -8y = 0

Solving for variable 'y'.

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

Add '26' to each side of the equation.
-26 + 26 + -8y = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -8y = 0 + 26
-8y = 0 + 26

Combine like terms: 0 + 26 = 26
-8y = 26

Divide each side by '-8'.
y = -3.25

Simplifying
y = -3.25

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