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Simplifying (3x + 3)(y + -1) = (2 + y)(3x) Reorder the terms: (3 + 3x)(y + -1) = (2 + y)(3x) Reorder the terms: (3 + 3x)(-1 + y) = (2 + y)(3x) Multiply (3 + 3x) * (-1 + y) (3(-1 + y) + 3x * (-1 + y)) = (2 + y)(3x) ((-1 * 3 + y * 3) + 3x * (-1 + y)) = (2 + y)(3x) ((-3 + 3y) + 3x * (-1 + y)) = (2 + y)(3x) (-3 + 3y + (-1 * 3x + y * 3x)) = (2 + y)(3x) (-3 + 3y + (-3x + 3xy)) = (2 + y)(3x) Reorder the terms: (-3 + -3x + 3xy + 3y) = (2 + y)(3x) (-3 + -3x + 3xy + 3y) = (2 + y)(3x) Remove parenthesis around (3x) -3 + -3x + 3xy + 3y = (2 + y) * 3x Reorder the terms for easier multiplication: -3 + -3x + 3xy + 3y = 3x(2 + y) -3 + -3x + 3xy + 3y = (2 * 3x + y * 3x) -3 + -3x + 3xy + 3y = (6x + 3xy) Add '-3xy' to each side of the equation. -3 + -3x + 3xy + -3xy + 3y = 6x + 3xy + -3xy Combine like terms: 3xy + -3xy = 0 -3 + -3x + 0 + 3y = 6x + 3xy + -3xy -3 + -3x + 3y = 6x + 3xy + -3xy Combine like terms: 3xy + -3xy = 0 -3 + -3x + 3y = 6x + 0 -3 + -3x + 3y = 6x Solving -3 + -3x + 3y = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + -3x + -6x + 3y = 6x + -6x Combine like terms: -3x + -6x = -9x -3 + -9x + 3y = 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -9x + 3y = 0 Add '3' to each side of the equation. -3 + -9x + 3 + 3y = 0 + 3 Reorder the terms: -3 + 3 + -9x + 3y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -9x + 3y = 0 + 3 -9x + 3y = 0 + 3 Combine like terms: 0 + 3 = 3 -9x + 3y = 3 Add '-3y' to each side of the equation. -9x + 3y + -3y = 3 + -3y Combine like terms: 3y + -3y = 0 -9x + 0 = 3 + -3y -9x = 3 + -3y Divide each side by '-9'. x = -0.3333333333 + 0.3333333333y Simplifying x = -0.3333333333 + 0.3333333333y
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