2(y-3)+3y=6

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Solution for 2(y-3)+3y=6 equation:


Simplifying
2(y + -3) + 3y = 6

Reorder the terms:
2(-3 + y) + 3y = 6
(-3 * 2 + y * 2) + 3y = 6
(-6 + 2y) + 3y = 6

Combine like terms: 2y + 3y = 5y
-6 + 5y = 6

Solving
-6 + 5y = 6

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 5y = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = 6 + 6
5y = 6 + 6

Combine like terms: 6 + 6 = 12
5y = 12

Divide each side by '5'.
y = 2.4

Simplifying
y = 2.4

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