-3y+41=2y+6

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Solution for -3y+41=2y+6 equation:


Simplifying
-3y + 41 = 2y + 6

Reorder the terms:
41 + -3y = 2y + 6

Reorder the terms:
41 + -3y = 6 + 2y

Solving
41 + -3y = 6 + 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.
41 + -3y + -2y = 6 + 2y + -2y

Combine like terms: -3y + -2y = -5y
41 + -5y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
41 + -5y = 6 + 0
41 + -5y = 6

Add '-41' to each side of the equation.
41 + -41 + -5y = 6 + -41

Combine like terms: 41 + -41 = 0
0 + -5y = 6 + -41
-5y = 6 + -41

Combine like terms: 6 + -41 = -35
-5y = -35

Divide each side by '-5'.
y = 7

Simplifying
y = 7

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