(4y+5)-(2y-8)=0

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Solution for (4y+5)-(2y-8)=0 equation:


Simplifying
(4y + 5) + -1(2y + -8) = 0

Reorder the terms:
(5 + 4y) + -1(2y + -8) = 0

Remove parenthesis around (5 + 4y)
5 + 4y + -1(2y + -8) = 0

Reorder the terms:
5 + 4y + -1(-8 + 2y) = 0
5 + 4y + (-8 * -1 + 2y * -1) = 0
5 + 4y + (8 + -2y) = 0

Reorder the terms:
5 + 8 + 4y + -2y = 0

Combine like terms: 5 + 8 = 13
13 + 4y + -2y = 0

Combine like terms: 4y + -2y = 2y
13 + 2y = 0

Solving
13 + 2y = 0

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 + 2y = 0 + -13

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

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

Divide each side by '2'.
y = -6.5

Simplifying
y = -6.5

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