-(7y+2)-(-6y-3)=-6

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Solution for -(7y+2)-(-6y-3)=-6 equation:


Simplifying
-1(7y + 2) + -1(-6y + -3) = -6

Reorder the terms:
-1(2 + 7y) + -1(-6y + -3) = -6
(2 * -1 + 7y * -1) + -1(-6y + -3) = -6
(-2 + -7y) + -1(-6y + -3) = -6

Reorder the terms:
-2 + -7y + -1(-3 + -6y) = -6
-2 + -7y + (-3 * -1 + -6y * -1) = -6
-2 + -7y + (3 + 6y) = -6

Reorder the terms:
-2 + 3 + -7y + 6y = -6

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

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

Solving
1 + -1y = -6

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 = -6 + -1

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

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

Divide each side by '-1'.
y = 7

Simplifying
y = 7

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