2y-57=3y-99

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Solution for 2y-57=3y-99 equation:


Simplifying
2y + -57 = 3y + -99

Reorder the terms:
-57 + 2y = 3y + -99

Reorder the terms:
-57 + 2y = -99 + 3y

Solving
-57 + 2y = -99 + 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.
-57 + 2y + -3y = -99 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-57 + -1y = -99 + 3y + -3y

Combine like terms: 3y + -3y = 0
-57 + -1y = -99 + 0
-57 + -1y = -99

Add '57' to each side of the equation.
-57 + 57 + -1y = -99 + 57

Combine like terms: -57 + 57 = 0
0 + -1y = -99 + 57
-1y = -99 + 57

Combine like terms: -99 + 57 = -42
-1y = -42

Divide each side by '-1'.
y = 42

Simplifying
y = 42

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