3(8y+1)=5(4y+3)

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Solution for 3(8y+1)=5(4y+3) equation:


Simplifying
3(8y + 1) = 5(4y + 3)

Reorder the terms:
3(1 + 8y) = 5(4y + 3)
(1 * 3 + 8y * 3) = 5(4y + 3)
(3 + 24y) = 5(4y + 3)

Reorder the terms:
3 + 24y = 5(3 + 4y)
3 + 24y = (3 * 5 + 4y * 5)
3 + 24y = (15 + 20y)

Solving
3 + 24y = 15 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
3 + 24y + -20y = 15 + 20y + -20y

Combine like terms: 24y + -20y = 4y
3 + 4y = 15 + 20y + -20y

Combine like terms: 20y + -20y = 0
3 + 4y = 15 + 0
3 + 4y = 15

Add '-3' to each side of the equation.
3 + -3 + 4y = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 4y = 15 + -3
4y = 15 + -3

Combine like terms: 15 + -3 = 12
4y = 12

Divide each side by '4'.
y = 3

Simplifying
y = 3

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