5y-42=2y-61

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Solution for 5y-42=2y-61 equation:


Simplifying
5y + -42 = 2y + -61

Reorder the terms:
-42 + 5y = 2y + -61

Reorder the terms:
-42 + 5y = -61 + 2y

Solving
-42 + 5y = -61 + 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.
-42 + 5y + -2y = -61 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-42 + 3y = -61 + 2y + -2y

Combine like terms: 2y + -2y = 0
-42 + 3y = -61 + 0
-42 + 3y = -61

Add '42' to each side of the equation.
-42 + 42 + 3y = -61 + 42

Combine like terms: -42 + 42 = 0
0 + 3y = -61 + 42
3y = -61 + 42

Combine like terms: -61 + 42 = -19
3y = -19

Divide each side by '3'.
y = -6.333333333

Simplifying
y = -6.333333333

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