(7y+8)-(7+6y)=10

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Solution for (7y+8)-(7+6y)=10 equation:


Simplifying
(7y + 8) + -1(7 + 6y) = 10

Reorder the terms:
(8 + 7y) + -1(7 + 6y) = 10

Remove parenthesis around (8 + 7y)
8 + 7y + -1(7 + 6y) = 10
8 + 7y + (7 * -1 + 6y * -1) = 10
8 + 7y + (-7 + -6y) = 10

Reorder the terms:
8 + -7 + 7y + -6y = 10

Combine like terms: 8 + -7 = 1
1 + 7y + -6y = 10

Combine like terms: 7y + -6y = 1y
1 + 1y = 10

Solving
1 + 1y = 10

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + 1y = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 1y = 10 + -1
1y = 10 + -1

Combine like terms: 10 + -1 = 9
1y = 9

Divide each side by '1'.
y = 9

Simplifying
y = 9

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