3(3+y)=5(x+2y)+21

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Solution for 3(3+y)=5(x+2y)+21 equation: 


Simplifying
3(3 + y) = 5(x + 2y) + 21
(3 * 3 + y * 3) = 5(x + 2y) + 21
(9 + 3y) = 5(x + 2y) + 21
9 + 3y = (x * 5 + 2y * 5) + 21
9 + 3y = (5x + 10y) + 21

Reorder the terms:
9 + 3y = 21 + 5x + 10y

Solving
9 + 3y = 21 + 5x + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
9 + 3y + -10y = 21 + 5x + 10y + -10y

Combine like terms: 3y + -10y = -7y
9 + -7y = 21 + 5x + 10y + -10y

Combine like terms: 10y + -10y = 0
9 + -7y = 21 + 5x + 0
9 + -7y = 21 + 5x

Add '-9' to each side of the equation.
9 + -9 + -7y = 21 + -9 + 5x

Combine like terms: 9 + -9 = 0
0 + -7y = 21 + -9 + 5x
-7y = 21 + -9 + 5x

Combine like terms: 21 + -9 = 12
-7y = 12 + 5x

Divide each side by '-7'.
y = -1.714285714 + -0.7142857143x

Simplifying
y = -1.714285714 + -0.7142857143x

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