(8y-102)+(2y+6)=90

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Solution for (8y-102)+(2y+6)=90 equation:


Simplifying
(8y + -102) + (2y + 6) = 90

Reorder the terms:
(-102 + 8y) + (2y + 6) = 90

Remove parenthesis around (-102 + 8y)
-102 + 8y + (2y + 6) = 90

Reorder the terms:
-102 + 8y + (6 + 2y) = 90

Remove parenthesis around (6 + 2y)
-102 + 8y + 6 + 2y = 90

Reorder the terms:
-102 + 6 + 8y + 2y = 90

Combine like terms: -102 + 6 = -96
-96 + 8y + 2y = 90

Combine like terms: 8y + 2y = 10y
-96 + 10y = 90

Solving
-96 + 10y = 90

Solving for variable 'y'.

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

Add '96' to each side of the equation.
-96 + 96 + 10y = 90 + 96

Combine like terms: -96 + 96 = 0
0 + 10y = 90 + 96
10y = 90 + 96

Combine like terms: 90 + 96 = 186
10y = 186

Divide each side by '10'.
y = 18.6

Simplifying
y = 18.6

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