5(3y+1)-3(2y-5)=65

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Solution for 5(3y+1)-3(2y-5)=65 equation:


Simplifying
5(3y + 1) + -3(2y + -5) = 65

Reorder the terms:
5(1 + 3y) + -3(2y + -5) = 65
(1 * 5 + 3y * 5) + -3(2y + -5) = 65
(5 + 15y) + -3(2y + -5) = 65

Reorder the terms:
5 + 15y + -3(-5 + 2y) = 65
5 + 15y + (-5 * -3 + 2y * -3) = 65
5 + 15y + (15 + -6y) = 65

Reorder the terms:
5 + 15 + 15y + -6y = 65

Combine like terms: 5 + 15 = 20
20 + 15y + -6y = 65

Combine like terms: 15y + -6y = 9y
20 + 9y = 65

Solving
20 + 9y = 65

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + 9y = 65 + -20

Combine like terms: 20 + -20 = 0
0 + 9y = 65 + -20
9y = 65 + -20

Combine like terms: 65 + -20 = 45
9y = 45

Divide each side by '9'.
y = 5

Simplifying
y = 5

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