2y+1=3y-3

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


Simplifying
2y + 1 = 3y + -3

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

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

Solving
1 + 2y = -3 + 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 + 2y + -3y = -3 + 3y + -3y

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

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

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

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

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

Divide each side by '-1'.
y = 4

Simplifying
y = 4

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