2y+5-y=2y-3(y-6)

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Solution for 2y+5-y=2y-3(y-6) equation:


Simplifying
2y + 5 + -1y = 2y + -3(y + -6)

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

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

Reorder the terms:
5 + 1y = 2y + -3(-6 + y)
5 + 1y = 2y + (-6 * -3 + y * -3)
5 + 1y = 2y + (18 + -3y)

Reorder the terms:
5 + 1y = 18 + 2y + -3y

Combine like terms: 2y + -3y = -1y
5 + 1y = 18 + -1y

Solving
5 + 1y = 18 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
5 + 1y + y = 18 + -1y + y

Combine like terms: 1y + y = 2y
5 + 2y = 18 + -1y + y

Combine like terms: -1y + y = 0
5 + 2y = 18 + 0
5 + 2y = 18

Add '-5' to each side of the equation.
5 + -5 + 2y = 18 + -5

Combine like terms: 5 + -5 = 0
0 + 2y = 18 + -5
2y = 18 + -5

Combine like terms: 18 + -5 = 13
2y = 13

Divide each side by '2'.
y = 6.5

Simplifying
y = 6.5

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