3(2y+1)=4(y+4)

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


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

Reorder the terms:
3(1 + 2y) = 4(y + 4)
(1 * 3 + 2y * 3) = 4(y + 4)
(3 + 6y) = 4(y + 4)

Reorder the terms:
3 + 6y = 4(4 + y)
3 + 6y = (4 * 4 + y * 4)
3 + 6y = (16 + 4y)

Solving
3 + 6y = 16 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
3 + 6y + -4y = 16 + 4y + -4y

Combine like terms: 6y + -4y = 2y
3 + 2y = 16 + 4y + -4y

Combine like terms: 4y + -4y = 0
3 + 2y = 16 + 0
3 + 2y = 16

Add '-3' to each side of the equation.
3 + -3 + 2y = 16 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 16 + -3
2y = 16 + -3

Combine like terms: 16 + -3 = 13
2y = 13

Divide each side by '2'.
y = 6.5

Simplifying
y = 6.5

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