40-2y-1=3y-4

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Solution for 40-2y-1=3y-4 equation:


Simplifying
40 + -2y + -1 = 3y + -4

Reorder the terms:
40 + -1 + -2y = 3y + -4

Combine like terms: 40 + -1 = 39
39 + -2y = 3y + -4

Reorder the terms:
39 + -2y = -4 + 3y

Solving
39 + -2y = -4 + 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.
39 + -2y + -3y = -4 + 3y + -3y

Combine like terms: -2y + -3y = -5y
39 + -5y = -4 + 3y + -3y

Combine like terms: 3y + -3y = 0
39 + -5y = -4 + 0
39 + -5y = -4

Add '-39' to each side of the equation.
39 + -39 + -5y = -4 + -39

Combine like terms: 39 + -39 = 0
0 + -5y = -4 + -39
-5y = -4 + -39

Combine like terms: -4 + -39 = -43
-5y = -43

Divide each side by '-5'.
y = 8.6

Simplifying
y = 8.6

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