3(2y-1)-2y=5(y-3)

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Solution for 3(2y-1)-2y=5(y-3) equation:


Simplifying
3(2y + -1) + -2y = 5(y + -3)

Reorder the terms:
3(-1 + 2y) + -2y = 5(y + -3)
(-1 * 3 + 2y * 3) + -2y = 5(y + -3)
(-3 + 6y) + -2y = 5(y + -3)

Combine like terms: 6y + -2y = 4y
-3 + 4y = 5(y + -3)

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

Solving
-3 + 4y = -15 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-3 + 4y + -5y = -15 + 5y + -5y

Combine like terms: 4y + -5y = -1y
-3 + -1y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
-3 + -1y = -15 + 0
-3 + -1y = -15

Add '3' to each side of the equation.
-3 + 3 + -1y = -15 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = -15 + 3
-1y = -15 + 3

Combine like terms: -15 + 3 = -12
-1y = -12

Divide each side by '-1'.
y = 12

Simplifying
y = 12

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