(-4y+5)-(-3y-8)=3

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Solution for (-4y+5)-(-3y-8)=3 equation:


Simplifying
(-4y + 5) + -1(-3y + -8) = 3

Reorder the terms:
(5 + -4y) + -1(-3y + -8) = 3

Remove parenthesis around (5 + -4y)
5 + -4y + -1(-3y + -8) = 3

Reorder the terms:
5 + -4y + -1(-8 + -3y) = 3
5 + -4y + (-8 * -1 + -3y * -1) = 3
5 + -4y + (8 + 3y) = 3

Reorder the terms:
5 + 8 + -4y + 3y = 3

Combine like terms: 5 + 8 = 13
13 + -4y + 3y = 3

Combine like terms: -4y + 3y = -1y
13 + -1y = 3

Solving
13 + -1y = 3

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + -1y = 3 + -13

Combine like terms: 13 + -13 = 0
0 + -1y = 3 + -13
-1y = 3 + -13

Combine like terms: 3 + -13 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10

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