6*(y-5)+3y=10-3y

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Solution for 6*(y-5)+3y=10-3y equation:


Simplifying
6(y + -5) + 3y = 10 + -3y

Reorder the terms:
6(-5 + y) + 3y = 10 + -3y
(-5 * 6 + y * 6) + 3y = 10 + -3y
(-30 + 6y) + 3y = 10 + -3y

Combine like terms: 6y + 3y = 9y
-30 + 9y = 10 + -3y

Solving
-30 + 9y = 10 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-30 + 9y + 3y = 10 + -3y + 3y

Combine like terms: 9y + 3y = 12y
-30 + 12y = 10 + -3y + 3y

Combine like terms: -3y + 3y = 0
-30 + 12y = 10 + 0
-30 + 12y = 10

Add '30' to each side of the equation.
-30 + 30 + 12y = 10 + 30

Combine like terms: -30 + 30 = 0
0 + 12y = 10 + 30
12y = 10 + 30

Combine like terms: 10 + 30 = 40
12y = 40

Divide each side by '12'.
y = 3.333333333

Simplifying
y = 3.333333333

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