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

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Solution for (5y+2)=(3y-1) equation:


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

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

Remove parenthesis around (2 + 5y)
2 + 5y = (3y + -1)

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

Remove parenthesis around (-1 + 3y)
2 + 5y = -1 + 3y

Solving
2 + 5y = -1 + 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 + 5y + -3y = -1 + 3y + -3y

Combine like terms: 5y + -3y = 2y
2 + 2y = -1 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + 2y = -1 + 0
2 + 2y = -1

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

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

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

Divide each side by '2'.
y = -1.5

Simplifying
y = -1.5

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