(3y-4)-(7+y)=7

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Solution for (3y-4)-(7+y)=7 equation:


Simplifying
(3y + -4) + -1(7 + y) = 7

Reorder the terms:
(-4 + 3y) + -1(7 + y) = 7

Remove parenthesis around (-4 + 3y)
-4 + 3y + -1(7 + y) = 7
-4 + 3y + (7 * -1 + y * -1) = 7
-4 + 3y + (-7 + -1y) = 7

Reorder the terms:
-4 + -7 + 3y + -1y = 7

Combine like terms: -4 + -7 = -11
-11 + 3y + -1y = 7

Combine like terms: 3y + -1y = 2y
-11 + 2y = 7

Solving
-11 + 2y = 7

Solving for variable 'y'.

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

Add '11' to each side of the equation.
-11 + 11 + 2y = 7 + 11

Combine like terms: -11 + 11 = 0
0 + 2y = 7 + 11
2y = 7 + 11

Combine like terms: 7 + 11 = 18
2y = 18

Divide each side by '2'.
y = 9

Simplifying
y = 9

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