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

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


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

Reorder the terms:
5 = 3(-5 + 4y) + -2y
5 = (-5 * 3 + 4y * 3) + -2y
5 = (-15 + 12y) + -2y

Combine like terms: 12y + -2y = 10y
5 = -15 + 10y

Solving
5 = -15 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
5 + -10y = -15 + 10y + -10y

Combine like terms: 10y + -10y = 0
5 + -10y = -15 + 0
5 + -10y = -15

Add '-5' to each side of the equation.
5 + -5 + -10y = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -10y = -15 + -5
-10y = -15 + -5

Combine like terms: -15 + -5 = -20
-10y = -20

Divide each side by '-10'.
y = 2

Simplifying
y = 2

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