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

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


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

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

Combine like terms: 6y + -1y = 5y
-3 + 5y = 2(y + 2) + -1(y + -5)

Reorder the terms:
-3 + 5y = 2(2 + y) + -1(y + -5)
-3 + 5y = (2 * 2 + y * 2) + -1(y + -5)
-3 + 5y = (4 + 2y) + -1(y + -5)

Reorder the terms:
-3 + 5y = 4 + 2y + -1(-5 + y)
-3 + 5y = 4 + 2y + (-5 * -1 + y * -1)
-3 + 5y = 4 + 2y + (5 + -1y)

Reorder the terms:
-3 + 5y = 4 + 5 + 2y + -1y

Combine like terms: 4 + 5 = 9
-3 + 5y = 9 + 2y + -1y

Combine like terms: 2y + -1y = 1y
-3 + 5y = 9 + 1y

Solving
-3 + 5y = 9 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-3 + 5y + -1y = 9 + 1y + -1y

Combine like terms: 5y + -1y = 4y
-3 + 4y = 9 + 1y + -1y

Combine like terms: 1y + -1y = 0
-3 + 4y = 9 + 0
-3 + 4y = 9

Add '3' to each side of the equation.
-3 + 3 + 4y = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 4y = 9 + 3
4y = 9 + 3

Combine like terms: 9 + 3 = 12
4y = 12

Divide each side by '4'.
y = 3

Simplifying
y = 3

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