-(3y+1)-(-2y-7)=3

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Solution for -(3y+1)-(-2y-7)=3 equation:


Simplifying
-1(3y + 1) + -1(-2y + -7) = 3

Reorder the terms:
-1(1 + 3y) + -1(-2y + -7) = 3
(1 * -1 + 3y * -1) + -1(-2y + -7) = 3
(-1 + -3y) + -1(-2y + -7) = 3

Reorder the terms:
-1 + -3y + -1(-7 + -2y) = 3
-1 + -3y + (-7 * -1 + -2y * -1) = 3
-1 + -3y + (7 + 2y) = 3

Reorder the terms:
-1 + 7 + -3y + 2y = 3

Combine like terms: -1 + 7 = 6
6 + -3y + 2y = 3

Combine like terms: -3y + 2y = -1y
6 + -1y = 3

Solving
6 + -1y = 3

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 + -1y = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 3 + -6
-1y = 3 + -6

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

Divide each side by '-1'.
y = 3

Simplifying
y = 3

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