9(y-5)=2(10+3y)

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Solution for 9(y-5)=2(10+3y) equation:


Simplifying
9(y + -5) = 2(10 + 3y)

Reorder the terms:
9(-5 + y) = 2(10 + 3y)
(-5 * 9 + y * 9) = 2(10 + 3y)
(-45 + 9y) = 2(10 + 3y)
-45 + 9y = (10 * 2 + 3y * 2)
-45 + 9y = (20 + 6y)

Solving
-45 + 9y = 20 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-45 + 9y + -6y = 20 + 6y + -6y

Combine like terms: 9y + -6y = 3y
-45 + 3y = 20 + 6y + -6y

Combine like terms: 6y + -6y = 0
-45 + 3y = 20 + 0
-45 + 3y = 20

Add '45' to each side of the equation.
-45 + 45 + 3y = 20 + 45

Combine like terms: -45 + 45 = 0
0 + 3y = 20 + 45
3y = 20 + 45

Combine like terms: 20 + 45 = 65
3y = 65

Divide each side by '3'.
y = 21.66666667

Simplifying
y = 21.66666667

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