3y+2=4y-(5-2y)

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Solution for 3y+2=4y-(5-2y) equation:


Simplifying
3y + 2 = 4y + -1(5 + -2y)

Reorder the terms:
2 + 3y = 4y + -1(5 + -2y)
2 + 3y = 4y + (5 * -1 + -2y * -1)
2 + 3y = 4y + (-5 + 2y)

Reorder the terms:
2 + 3y = -5 + 4y + 2y

Combine like terms: 4y + 2y = 6y
2 + 3y = -5 + 6y

Solving
2 + 3y = -5 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
2 + 3y + -6y = -5 + 6y + -6y

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

Combine like terms: 6y + -6y = 0
2 + -3y = -5 + 0
2 + -3y = -5

Add '-2' to each side of the equation.
2 + -2 + -3y = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -3y = -5 + -2
-3y = -5 + -2

Combine like terms: -5 + -2 = -7
-3y = -7

Divide each side by '-3'.
y = 2.333333333

Simplifying
y = 2.333333333

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