2y+3=4y-5

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


Simplifying
2y + 3 = 4y + -5

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

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

Solving
3 + 2y = -5 + 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 = -5 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
3 + -2y = -5 + 0
3 + -2y = -5

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

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

Combine like terms: -5 + -3 = -8
-2y = -8

Divide each side by '-2'.
y = 4

Simplifying
y = 4

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