-(3y-7)-(-5y+1)=7

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Solution for -(3y-7)-(-5y+1)=7 equation:


Simplifying
-1(3y + -7) + -1(-5y + 1) = 7

Reorder the terms:
-1(-7 + 3y) + -1(-5y + 1) = 7
(-7 * -1 + 3y * -1) + -1(-5y + 1) = 7
(7 + -3y) + -1(-5y + 1) = 7

Reorder the terms:
7 + -3y + -1(1 + -5y) = 7
7 + -3y + (1 * -1 + -5y * -1) = 7
7 + -3y + (-1 + 5y) = 7

Reorder the terms:
7 + -1 + -3y + 5y = 7

Combine like terms: 7 + -1 = 6
6 + -3y + 5y = 7

Combine like terms: -3y + 5y = 2y
6 + 2y = 7

Solving
6 + 2y = 7

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 2y = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 2y = 7 + -6
2y = 7 + -6

Combine like terms: 7 + -6 = 1
2y = 1

Divide each side by '2'.
y = 0.5

Simplifying
y = 0.5

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