-(4y+1)-(-3y-6)=2

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Solution for -(4y+1)-(-3y-6)=2 equation:


Simplifying
-1(4y + 1) + -1(-3y + -6) = 2

Reorder the terms:
-1(1 + 4y) + -1(-3y + -6) = 2
(1 * -1 + 4y * -1) + -1(-3y + -6) = 2
(-1 + -4y) + -1(-3y + -6) = 2

Reorder the terms:
-1 + -4y + -1(-6 + -3y) = 2
-1 + -4y + (-6 * -1 + -3y * -1) = 2
-1 + -4y + (6 + 3y) = 2

Reorder the terms:
-1 + 6 + -4y + 3y = 2

Combine like terms: -1 + 6 = 5
5 + -4y + 3y = 2

Combine like terms: -4y + 3y = -1y
5 + -1y = 2

Solving
5 + -1y = 2

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 2 + -5
-1y = 2 + -5

Combine like terms: 2 + -5 = -3
-1y = -3

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

Simplifying
y = 3

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