4y+5=-2y+2

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


Simplifying
4y + 5 = -2y + 2

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

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

Solving
5 + 4y = 2 + -2y

Solving for variable 'y'.

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

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

Combine like terms: 4y + 2y = 6y
5 + 6y = 2 + -2y + 2y

Combine like terms: -2y + 2y = 0
5 + 6y = 2 + 0
5 + 6y = 2

Add '-5' to each side of the equation.
5 + -5 + 6y = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 6y = 2 + -5
6y = 2 + -5

Combine like terms: 2 + -5 = -3
6y = -3

Divide each side by '6'.
y = -0.5

Simplifying
y = -0.5

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