-(4y+1)-(-3y-8)=6

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Solution for -(4y+1)-(-3y-8)=6 equation:


Simplifying
-1(4y + 1) + -1(-3y + -8) = 6

Reorder the terms:
-1(1 + 4y) + -1(-3y + -8) = 6
(1 * -1 + 4y * -1) + -1(-3y + -8) = 6
(-1 + -4y) + -1(-3y + -8) = 6

Reorder the terms:
-1 + -4y + -1(-8 + -3y) = 6
-1 + -4y + (-8 * -1 + -3y * -1) = 6
-1 + -4y + (8 + 3y) = 6

Reorder the terms:
-1 + 8 + -4y + 3y = 6

Combine like terms: -1 + 8 = 7
7 + -4y + 3y = 6

Combine like terms: -4y + 3y = -1y
7 + -1y = 6

Solving
7 + -1y = 6

Solving for variable 'y'.

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

Add '-7' to each side of the equation.
7 + -7 + -1y = 6 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 6 + -7
-1y = 6 + -7

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

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

Simplifying
y = 1

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