3y+40=5y-10

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Solution for 3y+40=5y-10 equation: 


Simplifying
3y + 40 = 5y + -10

Reorder the terms:
40 + 3y = 5y + -10

Reorder the terms:
40 + 3y = -10 + 5y

Solving
40 + 3y = -10 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
40 + 3y + -5y = -10 + 5y + -5y

Combine like terms: 3y + -5y = -2y
40 + -2y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
40 + -2y = -10 + 0
40 + -2y = -10

Add '-40' to each side of the equation.
40 + -40 + -2y = -10 + -40

Combine like terms: 40 + -40 = 0
0 + -2y = -10 + -40
-2y = -10 + -40

Combine like terms: -10 + -40 = -50
-2y = -50

Divide each side by '-2'.
y = 25

Simplifying
y = 25

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