(6y-8)+(5y-3)+(6y+4)=180

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Solution for (6y-8)+(5y-3)+(6y+4)=180 equation:


Simplifying
(6y + -8) + (5y + -3) + (6y + 4) = 180

Reorder the terms:
(-8 + 6y) + (5y + -3) + (6y + 4) = 180

Remove parenthesis around (-8 + 6y)
-8 + 6y + (5y + -3) + (6y + 4) = 180

Reorder the terms:
-8 + 6y + (-3 + 5y) + (6y + 4) = 180

Remove parenthesis around (-3 + 5y)
-8 + 6y + -3 + 5y + (6y + 4) = 180

Reorder the terms:
-8 + 6y + -3 + 5y + (4 + 6y) = 180

Remove parenthesis around (4 + 6y)
-8 + 6y + -3 + 5y + 4 + 6y = 180

Reorder the terms:
-8 + -3 + 4 + 6y + 5y + 6y = 180

Combine like terms: -8 + -3 = -11
-11 + 4 + 6y + 5y + 6y = 180

Combine like terms: -11 + 4 = -7
-7 + 6y + 5y + 6y = 180

Combine like terms: 6y + 5y = 11y
-7 + 11y + 6y = 180

Combine like terms: 11y + 6y = 17y
-7 + 17y = 180

Solving
-7 + 17y = 180

Solving for variable 'y'.

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

Add '7' to each side of the equation.
-7 + 7 + 17y = 180 + 7

Combine like terms: -7 + 7 = 0
0 + 17y = 180 + 7
17y = 180 + 7

Combine like terms: 180 + 7 = 187
17y = 187

Divide each side by '17'.
y = 11

Simplifying
y = 11

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