(10y+1)+(5y-1)+90=180

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Solution for (10y+1)+(5y-1)+90=180 equation:


Simplifying
(10y + 1) + (5y + -1) + 90 = 180

Reorder the terms:
(1 + 10y) + (5y + -1) + 90 = 180

Remove parenthesis around (1 + 10y)
1 + 10y + (5y + -1) + 90 = 180

Reorder the terms:
1 + 10y + (-1 + 5y) + 90 = 180

Remove parenthesis around (-1 + 5y)
1 + 10y + -1 + 5y + 90 = 180

Reorder the terms:
1 + -1 + 90 + 10y + 5y = 180

Combine like terms: 1 + -1 = 0
0 + 90 + 10y + 5y = 180
90 + 10y + 5y = 180

Combine like terms: 10y + 5y = 15y
90 + 15y = 180

Solving
90 + 15y = 180

Solving for variable 'y'.

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

Add '-90' to each side of the equation.
90 + -90 + 15y = 180 + -90

Combine like terms: 90 + -90 = 0
0 + 15y = 180 + -90
15y = 180 + -90

Combine like terms: 180 + -90 = 90
15y = 90

Divide each side by '15'.
y = 6

Simplifying
y = 6

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