y-1=2-(15-3y)

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Solution for y-1=2-(15-3y) equation:


Simplifying
y + -1 = 2 + -1(15 + -3y)

Reorder the terms:
-1 + y = 2 + -1(15 + -3y)
-1 + y = 2 + (15 * -1 + -3y * -1)
-1 + y = 2 + (-15 + 3y)

Combine like terms: 2 + -15 = -13
-1 + y = -13 + 3y

Solving
-1 + y = -13 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-1 + y + -3y = -13 + 3y + -3y

Combine like terms: y + -3y = -2y
-1 + -2y = -13 + 3y + -3y

Combine like terms: 3y + -3y = 0
-1 + -2y = -13 + 0
-1 + -2y = -13

Add '1' to each side of the equation.
-1 + 1 + -2y = -13 + 1

Combine like terms: -1 + 1 = 0
0 + -2y = -13 + 1
-2y = -13 + 1

Combine like terms: -13 + 1 = -12
-2y = -12

Divide each side by '-2'.
y = 6

Simplifying
y = 6

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