4(3y-1)-3(2y)=10

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Solution for 4(3y-1)-3(2y)=10 equation: 


Simplifying
4(3y + -1) + -3(2y) = 10

Reorder the terms:
4(-1 + 3y) + -3(2y) = 10
(-1 * 4 + 3y * 4) + -3(2y) = 10
(-4 + 12y) + -3(2y) = 10

Remove parenthesis around (2y)
-4 + 12y + -3 * 2y = 10

Multiply -3 * 2
-4 + 12y + -6y = 10

Combine like terms: 12y + -6y = 6y
-4 + 6y = 10

Solving
-4 + 6y = 10

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 6y = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 6y = 10 + 4
6y = 10 + 4

Combine like terms: 10 + 4 = 14
6y = 14

Divide each side by '6'.
y = 2.333333333

Simplifying
y = 2.333333333

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