2x+3(y+r)=2(x+y+3)

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


Simplifying
2x + 3(y + r) = 2(x + y + 3)

Reorder the terms:
2x + 3(r + y) = 2(x + y + 3)
2x + (r * 3 + y * 3) = 2(x + y + 3)
2x + (3r + 3y) = 2(x + y + 3)

Reorder the terms:
3r + 2x + 3y = 2(x + y + 3)

Reorder the terms:
3r + 2x + 3y = 2(3 + x + y)
3r + 2x + 3y = (3 * 2 + x * 2 + y * 2)
3r + 2x + 3y = (6 + 2x + 2y)

Add '-2x' to each side of the equation.
3r + 2x + -2x + 3y = 6 + 2x + -2x + 2y

Combine like terms: 2x + -2x = 0
3r + 0 + 3y = 6 + 2x + -2x + 2y
3r + 3y = 6 + 2x + -2x + 2y

Combine like terms: 2x + -2x = 0
3r + 3y = 6 + 0 + 2y
3r + 3y = 6 + 2y

Solving
3r + 3y = 6 + 2y

Solving for variable 'r'.

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

Add '-3y' to each side of the equation.
3r + 3y + -3y = 6 + 2y + -3y

Combine like terms: 3y + -3y = 0
3r + 0 = 6 + 2y + -3y
3r = 6 + 2y + -3y

Combine like terms: 2y + -3y = -1y
3r = 6 + -1y

Divide each side by '3'.
r = 2 + -0.3333333333y

Simplifying
r = 2 + -0.3333333333y

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