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

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


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

Reorder the terms:
4(5 + 2y) + -2(y + -4) = 0
(5 * 4 + 2y * 4) + -2(y + -4) = 0
(20 + 8y) + -2(y + -4) = 0

Reorder the terms:
20 + 8y + -2(-4 + y) = 0
20 + 8y + (-4 * -2 + y * -2) = 0
20 + 8y + (8 + -2y) = 0

Reorder the terms:
20 + 8 + 8y + -2y = 0

Combine like terms: 20 + 8 = 28
28 + 8y + -2y = 0

Combine like terms: 8y + -2y = 6y
28 + 6y = 0

Solving
28 + 6y = 0

Solving for variable 'y'.

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

Add '-28' to each side of the equation.
28 + -28 + 6y = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 6y = 0 + -28
6y = 0 + -28

Combine like terms: 0 + -28 = -28
6y = -28

Divide each side by '6'.
y = -4.666666667

Simplifying
y = -4.666666667

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