-4(4y+1)-(-3y-6)=5

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Solution for -4(4y+1)-(-3y-6)=5 equation:


Simplifying
-4(4y + 1) + -1(-3y + -6) = 5

Reorder the terms:
-4(1 + 4y) + -1(-3y + -6) = 5
(1 * -4 + 4y * -4) + -1(-3y + -6) = 5
(-4 + -16y) + -1(-3y + -6) = 5

Reorder the terms:
-4 + -16y + -1(-6 + -3y) = 5
-4 + -16y + (-6 * -1 + -3y * -1) = 5
-4 + -16y + (6 + 3y) = 5

Reorder the terms:
-4 + 6 + -16y + 3y = 5

Combine like terms: -4 + 6 = 2
2 + -16y + 3y = 5

Combine like terms: -16y + 3y = -13y
2 + -13y = 5

Solving
2 + -13y = 5

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + -13y = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -13y = 5 + -2
-13y = 5 + -2

Combine like terms: 5 + -2 = 3
-13y = 3

Divide each side by '-13'.
y = -0.2307692308

Simplifying
y = -0.2307692308

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