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

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


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

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

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

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

Combine like terms: -1 + -6 = -7
2 + -1y = -7 + 2y

Solving
2 + -1y = -7 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
2 + -1y + -2y = -7 + 2y + -2y

Combine like terms: -1y + -2y = -3y
2 + -3y = -7 + 2y + -2y

Combine like terms: 2y + -2y = 0
2 + -3y = -7 + 0
2 + -3y = -7

Add '-2' to each side of the equation.
2 + -2 + -3y = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -3y = -7 + -2
-3y = -7 + -2

Combine like terms: -7 + -2 = -9
-3y = -9

Divide each side by '-3'.
y = 3

Simplifying
y = 3

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