5(3n+4)-3(2n-7)=y

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Solution for 5(3n+4)-3(2n-7)=y equation:


Simplifying
5(3n + 4) + -3(2n + -7) = y

Reorder the terms:
5(4 + 3n) + -3(2n + -7) = y
(4 * 5 + 3n * 5) + -3(2n + -7) = y
(20 + 15n) + -3(2n + -7) = y

Reorder the terms:
20 + 15n + -3(-7 + 2n) = y
20 + 15n + (-7 * -3 + 2n * -3) = y
20 + 15n + (21 + -6n) = y

Reorder the terms:
20 + 21 + 15n + -6n = y

Combine like terms: 20 + 21 = 41
41 + 15n + -6n = y

Combine like terms: 15n + -6n = 9n
41 + 9n = y

Solving
41 + 9n = y

Solving for variable 'n'.

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

Add '-41' to each side of the equation.
41 + -41 + 9n = -41 + y

Combine like terms: 41 + -41 = 0
0 + 9n = -41 + y
9n = -41 + y

Divide each side by '9'.
n = -4.555555556 + 0.1111111111y

Simplifying
n = -4.555555556 + 0.1111111111y

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