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

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


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

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

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

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

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

Solving
-3 + 3y = -1 + -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.
-3 + 3y + y = -1 + -1y + y

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

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

Add '3' to each side of the equation.
-3 + 3 + 4y = -1 + 3

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

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

Divide each side by '4'.
y = 0.5

Simplifying
y = 0.5

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