5(3y-1)-3(2y)=10

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Solution for 5(3y-1)-3(2y)=10 equation:


Simplifying
5(3y + -1) + -3(2y) = 10

Reorder the terms:
5(-1 + 3y) + -3(2y) = 10
(-1 * 5 + 3y * 5) + -3(2y) = 10
(-5 + 15y) + -3(2y) = 10

Remove parenthesis around (2y)
-5 + 15y + -3 * 2y = 10

Multiply -3 * 2
-5 + 15y + -6y = 10

Combine like terms: 15y + -6y = 9y
-5 + 9y = 10

Solving
-5 + 9y = 10

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + 9y = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 9y = 10 + 5
9y = 10 + 5

Combine like terms: 10 + 5 = 15
9y = 15

Divide each side by '9'.
y = 1.666666667

Simplifying
y = 1.666666667

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