-2y+41=3(y-3)

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Solution for -2y+41=3(y-3) equation:


Simplifying
-2y + 41 = 3(y + -3)

Reorder the terms:
41 + -2y = 3(y + -3)

Reorder the terms:
41 + -2y = 3(-3 + y)
41 + -2y = (-3 * 3 + y * 3)
41 + -2y = (-9 + 3y)

Solving
41 + -2y = -9 + 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.
41 + -2y + -3y = -9 + 3y + -3y

Combine like terms: -2y + -3y = -5y
41 + -5y = -9 + 3y + -3y

Combine like terms: 3y + -3y = 0
41 + -5y = -9 + 0
41 + -5y = -9

Add '-41' to each side of the equation.
41 + -41 + -5y = -9 + -41

Combine like terms: 41 + -41 = 0
0 + -5y = -9 + -41
-5y = -9 + -41

Combine like terms: -9 + -41 = -50
-5y = -50

Divide each side by '-5'.
y = 10

Simplifying
y = 10

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