6(2y-3)-3(y-5)=0

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Solution for 6(2y-3)-3(y-5)=0 equation:


Simplifying
6(2y + -3) + -3(y + -5) = 0

Reorder the terms:
6(-3 + 2y) + -3(y + -5) = 0
(-3 * 6 + 2y * 6) + -3(y + -5) = 0
(-18 + 12y) + -3(y + -5) = 0

Reorder the terms:
-18 + 12y + -3(-5 + y) = 0
-18 + 12y + (-5 * -3 + y * -3) = 0
-18 + 12y + (15 + -3y) = 0

Reorder the terms:
-18 + 15 + 12y + -3y = 0

Combine like terms: -18 + 15 = -3
-3 + 12y + -3y = 0

Combine like terms: 12y + -3y = 9y
-3 + 9y = 0

Solving
-3 + 9y = 0

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 9y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 9y = 0 + 3
9y = 0 + 3

Combine like terms: 0 + 3 = 3
9y = 3

Divide each side by '9'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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