(5y+1)+(3y-7)=180

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Solution for (5y+1)+(3y-7)=180 equation:


Simplifying
(5y + 1) + (3y + -7) = 180

Reorder the terms:
(1 + 5y) + (3y + -7) = 180

Remove parenthesis around (1 + 5y)
1 + 5y + (3y + -7) = 180

Reorder the terms:
1 + 5y + (-7 + 3y) = 180

Remove parenthesis around (-7 + 3y)
1 + 5y + -7 + 3y = 180

Reorder the terms:
1 + -7 + 5y + 3y = 180

Combine like terms: 1 + -7 = -6
-6 + 5y + 3y = 180

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

Solving
-6 + 8y = 180

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 8y = 180 + 6

Combine like terms: -6 + 6 = 0
0 + 8y = 180 + 6
8y = 180 + 6

Combine like terms: 180 + 6 = 186
8y = 186

Divide each side by '8'.
y = 23.25

Simplifying
y = 23.25

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