4y-6=2y+3

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


Simplifying
4y + -6 = 2y + 3

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

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

Solving
-6 + 4y = 3 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.
-6 + 4y + -2y = 3 + 2y + -2y

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

Combine like terms: 2y + -2y = 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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