(10y-10)+(17y-8)+(13y-5)=

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Solution for (10y-10)+(17y-8)+(13y-5)= equation:


Simplifying
(10y + -10) + (17y + -8) + (13y + -5) = 0

Reorder the terms:
(-10 + 10y) + (17y + -8) + (13y + -5) = 0

Remove parenthesis around (-10 + 10y)
-10 + 10y + (17y + -8) + (13y + -5) = 0

Reorder the terms:
-10 + 10y + (-8 + 17y) + (13y + -5) = 0

Remove parenthesis around (-8 + 17y)
-10 + 10y + -8 + 17y + (13y + -5) = 0

Reorder the terms:
-10 + 10y + -8 + 17y + (-5 + 13y) = 0

Remove parenthesis around (-5 + 13y)
-10 + 10y + -8 + 17y + -5 + 13y = 0

Reorder the terms:
-10 + -8 + -5 + 10y + 17y + 13y = 0

Combine like terms: -10 + -8 = -18
-18 + -5 + 10y + 17y + 13y = 0

Combine like terms: -18 + -5 = -23
-23 + 10y + 17y + 13y = 0

Combine like terms: 10y + 17y = 27y
-23 + 27y + 13y = 0

Combine like terms: 27y + 13y = 40y
-23 + 40y = 0

Solving
-23 + 40y = 0

Solving for variable 'y'.

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

Add '23' to each side of the equation.
-23 + 23 + 40y = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 40y = 0 + 23
40y = 0 + 23

Combine like terms: 0 + 23 = 23
40y = 23

Divide each side by '40'.
y = 0.575

Simplifying
y = 0.575

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