3(3y+10)=6y+45

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Solution for 3(3y+10)=6y+45 equation:


Simplifying
3(3y + 10) = 6y + 45

Reorder the terms:
3(10 + 3y) = 6y + 45
(10 * 3 + 3y * 3) = 6y + 45
(30 + 9y) = 6y + 45

Reorder the terms:
30 + 9y = 45 + 6y

Solving
30 + 9y = 45 + 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.
30 + 9y + -6y = 45 + 6y + -6y

Combine like terms: 9y + -6y = 3y
30 + 3y = 45 + 6y + -6y

Combine like terms: 6y + -6y = 0
30 + 3y = 45 + 0
30 + 3y = 45

Add '-30' to each side of the equation.
30 + -30 + 3y = 45 + -30

Combine like terms: 30 + -30 = 0
0 + 3y = 45 + -30
3y = 45 + -30

Combine like terms: 45 + -30 = 15
3y = 15

Divide each side by '3'.
y = 5

Simplifying
y = 5

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