2y+40=3y-33

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Solution for 2y+40=3y-33 equation: 


Simplifying
2y + 40 = 3y + -33

Reorder the terms:
40 + 2y = 3y + -33

Reorder the terms:
40 + 2y = -33 + 3y

Solving
40 + 2y = -33 + 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.
40 + 2y + -3y = -33 + 3y + -3y

Combine like terms: 2y + -3y = -1y
40 + -1y = -33 + 3y + -3y

Combine like terms: 3y + -3y = 0
40 + -1y = -33 + 0
40 + -1y = -33

Add '-40' to each side of the equation.
40 + -40 + -1y = -33 + -40

Combine like terms: 40 + -40 = 0
0 + -1y = -33 + -40
-1y = -33 + -40

Combine like terms: -33 + -40 = -73
-1y = -73

Divide each side by '-1'.
y = 73

Simplifying
y = 73

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