(2y+50)=(3y+40)

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Solution for (2y+50)=(3y+40) equation: 


Simplifying
(2y + 50) = (3y + 40)

Reorder the terms:
(50 + 2y) = (3y + 40)

Remove parenthesis around (50 + 2y)
50 + 2y = (3y + 40)

Reorder the terms:
50 + 2y = (40 + 3y)

Remove parenthesis around (40 + 3y)
50 + 2y = 40 + 3y

Solving
50 + 2y = 40 + 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.
50 + 2y + -3y = 40 + 3y + -3y

Combine like terms: 2y + -3y = -1y
50 + -1y = 40 + 3y + -3y

Combine like terms: 3y + -3y = 0
50 + -1y = 40 + 0
50 + -1y = 40

Add '-50' to each side of the equation.
50 + -50 + -1y = 40 + -50

Combine like terms: 50 + -50 = 0
0 + -1y = 40 + -50
-1y = 40 + -50

Combine like terms: 40 + -50 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10

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