2y+6=4y-3

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Solution for 2y+6=4y-3 equation:


Simplifying
2y + 6 = 4y + -3

Reorder the terms:
6 + 2y = 4y + -3

Reorder the terms:
6 + 2y = -3 + 4y

Solving
6 + 2y = -3 + 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.
6 + 2y + -4y = -3 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
6 + -2y = -3 + 0
6 + -2y = -3

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

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

Combine like terms: -3 + -6 = -9
-2y = -9

Divide each side by '-2'.
y = 4.5

Simplifying
y = 4.5

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