5y+2=8y-4y

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


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

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

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

Solving
2 + 5y = 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
2 + 5y + -4y = 4y + -4y

Combine like terms: 5y + -4y = 1y
2 + 1y = 4y + -4y

Combine like terms: 4y + -4y = 0
2 + 1y = 0

Add '-2' to each side of the equation.
2 + -2 + 1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 0 + -2
1y = 0 + -2

Combine like terms: 0 + -2 = -2
1y = -2

Divide each side by '1'.
y = -2

Simplifying
y = -2

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