4y+2=5y-2y

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


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

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

Combine like terms: 5y + -2y = 3y
2 + 4y = 3y

Solving
2 + 4y = 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.
2 + 4y + -3y = 3y + -3y

Combine like terms: 4y + -3y = 1y
2 + 1y = 3y + -3y

Combine like terms: 3y + -3y = 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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