17+40y-35y+24y+18y=24-14y-17y-31

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Solution for 17+40y-35y+24y+18y=24-14y-17y-31 equation:


Simplifying
17 + 40y + -35y + 24y + 18y = 24 + -14y + -17y + -31

Combine like terms: 40y + -35y = 5y
17 + 5y + 24y + 18y = 24 + -14y + -17y + -31

Combine like terms: 5y + 24y = 29y
17 + 29y + 18y = 24 + -14y + -17y + -31

Combine like terms: 29y + 18y = 47y
17 + 47y = 24 + -14y + -17y + -31

Reorder the terms:
17 + 47y = 24 + -31 + -14y + -17y

Combine like terms: 24 + -31 = -7
17 + 47y = -7 + -14y + -17y

Combine like terms: -14y + -17y = -31y
17 + 47y = -7 + -31y

Solving
17 + 47y = -7 + -31y

Solving for variable 'y'.

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

Add '31y' to each side of the equation.
17 + 47y + 31y = -7 + -31y + 31y

Combine like terms: 47y + 31y = 78y
17 + 78y = -7 + -31y + 31y

Combine like terms: -31y + 31y = 0
17 + 78y = -7 + 0
17 + 78y = -7

Add '-17' to each side of the equation.
17 + -17 + 78y = -7 + -17

Combine like terms: 17 + -17 = 0
0 + 78y = -7 + -17
78y = -7 + -17

Combine like terms: -7 + -17 = -24
78y = -24

Divide each side by '78'.
y = -0.3076923077

Simplifying
y = -0.3076923077

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