4=5(y+2)-8y

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


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

Reorder the terms:
4 = 5(2 + y) + -8y
4 = (2 * 5 + y * 5) + -8y
4 = (10 + 5y) + -8y

Combine like terms: 5y + -8y = -3y
4 = 10 + -3y

Solving
4 = 10 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
4 + 3y = 10 + -3y + 3y

Combine like terms: -3y + 3y = 0
4 + 3y = 10 + 0
4 + 3y = 10

Add '-4' to each side of the equation.
4 + -4 + 3y = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = 10 + -4
3y = 10 + -4

Combine like terms: 10 + -4 = 6
3y = 6

Divide each side by '3'.
y = 2

Simplifying
y = 2

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