(7y+y)-(2+6y)=10

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Solution for (7y+y)-(2+6y)=10 equation:


Simplifying
(7y + y) + -1(2 + 6y) = 10

Combine like terms: 7y + y = 8y
(8y) + -1(2 + 6y) = 10
(8y) + -1(2 + 6y) = 10
(8y) + (2 * -1 + 6y * -1) = 10
(8y) + (-2 + -6y) = 10

Reorder the terms:
-2 + (8y) + -6y = 10

Combine like terms: (8y) + -6y = 2y
-2 + 2y = 10

Solving
-2 + 2y = 10

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + 2y = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 2y = 10 + 2
2y = 10 + 2

Combine like terms: 10 + 2 = 12
2y = 12

Divide each side by '2'.
y = 6

Simplifying
y = 6

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