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

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Solution for (3y+2)=(4y-1) equation:


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

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

Remove parenthesis around (2 + 3y)
2 + 3y = (4y + -1)

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

Remove parenthesis around (-1 + 4y)
2 + 3y = -1 + 4y

Solving
2 + 3y = -1 + 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 + 3y + -4y = -1 + 4y + -4y

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

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

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

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

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

Divide each side by '-1'.
y = 3

Simplifying
y = 3

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