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

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


Simplifying
5(y + -4) * 3 = 2y + -5

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

Reorder the terms for easier multiplication:
5 * 3(-4 + y) = 2y + -5

Multiply 5 * 3
15(-4 + y) = 2y + -5
(-4 * 15 + y * 15) = 2y + -5
(-60 + 15y) = 2y + -5

Reorder the terms:
-60 + 15y = -5 + 2y

Solving
-60 + 15y = -5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-60 + 15y + -2y = -5 + 2y + -2y

Combine like terms: 15y + -2y = 13y
-60 + 13y = -5 + 2y + -2y

Combine like terms: 2y + -2y = 0
-60 + 13y = -5 + 0
-60 + 13y = -5

Add '60' to each side of the equation.
-60 + 60 + 13y = -5 + 60

Combine like terms: -60 + 60 = 0
0 + 13y = -5 + 60
13y = -5 + 60

Combine like terms: -5 + 60 = 55
13y = 55

Divide each side by '13'.
y = 4.230769231

Simplifying
y = 4.230769231

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