3(4y-1)=(5y+.5)

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Solution for 3(4y-1)=(5y+.5) equation:


Simplifying
3(4y + -1) = (5y + 0.5)

Reorder the terms:
3(-1 + 4y) = (5y + 0.5)
(-1 * 3 + 4y * 3) = (5y + 0.5)
(-3 + 12y) = (5y + 0.5)

Reorder the terms:
-3 + 12y = (0.5 + 5y)

Remove parenthesis around (0.5 + 5y)
-3 + 12y = 0.5 + 5y

Solving
-3 + 12y = 0.5 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-3 + 12y + -5y = 0.5 + 5y + -5y

Combine like terms: 12y + -5y = 7y
-3 + 7y = 0.5 + 5y + -5y

Combine like terms: 5y + -5y = 0
-3 + 7y = 0.5 + 0
-3 + 7y = 0.5

Add '3' to each side of the equation.
-3 + 3 + 7y = 0.5 + 3

Combine like terms: -3 + 3 = 0
0 + 7y = 0.5 + 3
7y = 0.5 + 3

Combine like terms: 0.5 + 3 = 3.5
7y = 3.5

Divide each side by '7'.
y = 0.5

Simplifying
y = 0.5

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