6(4y+5)=3(y+8)+3

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Solution for 6(4y+5)=3(y+8)+3 equation:


Simplifying
6(4y + 5) = 3(y + 8) + 3

Reorder the terms:
6(5 + 4y) = 3(y + 8) + 3
(5 * 6 + 4y * 6) = 3(y + 8) + 3
(30 + 24y) = 3(y + 8) + 3

Reorder the terms:
30 + 24y = 3(8 + y) + 3
30 + 24y = (8 * 3 + y * 3) + 3
30 + 24y = (24 + 3y) + 3

Reorder the terms:
30 + 24y = 24 + 3 + 3y

Combine like terms: 24 + 3 = 27
30 + 24y = 27 + 3y

Solving
30 + 24y = 27 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
30 + 24y + -3y = 27 + 3y + -3y

Combine like terms: 24y + -3y = 21y
30 + 21y = 27 + 3y + -3y

Combine like terms: 3y + -3y = 0
30 + 21y = 27 + 0
30 + 21y = 27

Add '-30' to each side of the equation.
30 + -30 + 21y = 27 + -30

Combine like terms: 30 + -30 = 0
0 + 21y = 27 + -30
21y = 27 + -30

Combine like terms: 27 + -30 = -3
21y = -3

Divide each side by '21'.
y = -0.1428571429

Simplifying
y = -0.1428571429

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