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Simplifying (3y + -6) + -3 = ((x + -3) + (y + -3)) + -2 Reorder the terms: (-6 + 3y) + -3 = ((x + -3) + (y + -3)) + -2 Remove parenthesis around (-6 + 3y) -6 + 3y + -3 = ((x + -3) + (y + -3)) + -2 Reorder the terms: -6 + -3 + 3y = ((x + -3) + (y + -3)) + -2 Combine like terms: -6 + -3 = -9 -9 + 3y = ((x + -3) + (y + -3)) + -2 Reorder the terms: -9 + 3y = ((-3 + x) + (y + -3)) + -2 Remove parenthesis around (-3 + x) -9 + 3y = (-3 + x + (y + -3)) + -2 Reorder the terms: -9 + 3y = (-3 + x + (-3 + y)) + -2 Remove parenthesis around (-3 + y) -9 + 3y = (-3 + x + -3 + y) + -2 Reorder the terms: -9 + 3y = (-3 + -3 + x + y) + -2 Combine like terms: -3 + -3 = -6 -9 + 3y = (-6 + x + y) + -2 Remove parenthesis around (-6 + x + y) -9 + 3y = -6 + x + y + -2 Reorder the terms: -9 + 3y = -6 + -2 + x + y Combine like terms: -6 + -2 = -8 -9 + 3y = -8 + x + y Solving -9 + 3y = -8 + x + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -9 + 3y + -1y = -8 + x + y + -1y Combine like terms: 3y + -1y = 2y -9 + 2y = -8 + x + y + -1y Combine like terms: y + -1y = 0 -9 + 2y = -8 + x + 0 -9 + 2y = -8 + x Add '9' to each side of the equation. -9 + 9 + 2y = -8 + 9 + x Combine like terms: -9 + 9 = 0 0 + 2y = -8 + 9 + x 2y = -8 + 9 + x Combine like terms: -8 + 9 = 1 2y = 1 + x Divide each side by '2'. y = 0.5 + 0.5x Simplifying y = 0.5 + 0.5x
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