3(2y-3)=19.4-y

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Solution for 3(2y-3)=19.4-y equation:


Simplifying
3(2y + -3) = 19.4 + -1y

Reorder the terms:
3(-3 + 2y) = 19.4 + -1y
(-3 * 3 + 2y * 3) = 19.4 + -1y
(-9 + 6y) = 19.4 + -1y

Solving
-9 + 6y = 19.4 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-9 + 6y + y = 19.4 + -1y + y

Combine like terms: 6y + y = 7y
-9 + 7y = 19.4 + -1y + y

Combine like terms: -1y + y = 0
-9 + 7y = 19.4 + 0
-9 + 7y = 19.4

Add '9' to each side of the equation.
-9 + 9 + 7y = 19.4 + 9

Combine like terms: -9 + 9 = 0
0 + 7y = 19.4 + 9
7y = 19.4 + 9

Combine like terms: 19.4 + 9 = 28.4
7y = 28.4

Divide each side by '7'.
y = 4.057142857

Simplifying
y = 4.057142857

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