3(4y+1)=48.5-y

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Solution for 3(4y+1)=48.5-y equation:


Simplifying
3(4y + 1) = 48.5 + -1y

Reorder the terms:
3(1 + 4y) = 48.5 + -1y
(1 * 3 + 4y * 3) = 48.5 + -1y
(3 + 12y) = 48.5 + -1y

Solving
3 + 12y = 48.5 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
3 + 12y + y = 48.5 + -1y + y

Combine like terms: 12y + y = 13y
3 + 13y = 48.5 + -1y + y

Combine like terms: -1y + y = 0
3 + 13y = 48.5 + 0
3 + 13y = 48.5

Add '-3' to each side of the equation.
3 + -3 + 13y = 48.5 + -3

Combine like terms: 3 + -3 = 0
0 + 13y = 48.5 + -3
13y = 48.5 + -3

Combine like terms: 48.5 + -3 = 45.5
13y = 45.5

Divide each side by '13'.
y = 3.5

Simplifying
y = 3.5

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