9(y-4)-7y-5=5(3y-2)

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Solution for 9(y-4)-7y-5=5(3y-2) equation:


Simplifying
9(y + -4) + -7y + -5 = 5(3y + -2)

Reorder the terms:
9(-4 + y) + -7y + -5 = 5(3y + -2)
(-4 * 9 + y * 9) + -7y + -5 = 5(3y + -2)
(-36 + 9y) + -7y + -5 = 5(3y + -2)

Reorder the terms:
-36 + -5 + 9y + -7y = 5(3y + -2)

Combine like terms: -36 + -5 = -41
-41 + 9y + -7y = 5(3y + -2)

Combine like terms: 9y + -7y = 2y
-41 + 2y = 5(3y + -2)

Reorder the terms:
-41 + 2y = 5(-2 + 3y)
-41 + 2y = (-2 * 5 + 3y * 5)
-41 + 2y = (-10 + 15y)

Solving
-41 + 2y = -10 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-41 + 2y + -15y = -10 + 15y + -15y

Combine like terms: 2y + -15y = -13y
-41 + -13y = -10 + 15y + -15y

Combine like terms: 15y + -15y = 0
-41 + -13y = -10 + 0
-41 + -13y = -10

Add '41' to each side of the equation.
-41 + 41 + -13y = -10 + 41

Combine like terms: -41 + 41 = 0
0 + -13y = -10 + 41
-13y = -10 + 41

Combine like terms: -10 + 41 = 31
-13y = 31

Divide each side by '-13'.
y = -2.384615385

Simplifying
y = -2.384615385

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