2y+3=4y-1

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


Simplifying
2y + 3 = 4y + -1

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

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

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

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

Combine like terms: 4y + -4y = 0
3 + -2y = -1 + 0
3 + -2y = -1

Add '-3' to each side of the equation.
3 + -3 + -2y = -1 + -3

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

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

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

Simplifying
y = 2

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