5(4y+1)-3(2y+1)=9

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Solution for 5(4y+1)-3(2y+1)=9 equation:


Simplifying
5(4y + 1) + -3(2y + 1) = 9

Reorder the terms:
5(1 + 4y) + -3(2y + 1) = 9
(1 * 5 + 4y * 5) + -3(2y + 1) = 9
(5 + 20y) + -3(2y + 1) = 9

Reorder the terms:
5 + 20y + -3(1 + 2y) = 9
5 + 20y + (1 * -3 + 2y * -3) = 9
5 + 20y + (-3 + -6y) = 9

Reorder the terms:
5 + -3 + 20y + -6y = 9

Combine like terms: 5 + -3 = 2
2 + 20y + -6y = 9

Combine like terms: 20y + -6y = 14y
2 + 14y = 9

Solving
2 + 14y = 9

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 14y = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 14y = 9 + -2
14y = 9 + -2

Combine like terms: 9 + -2 = 7
14y = 7

Divide each side by '14'.
y = 0.5

Simplifying
y = 0.5

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