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Simplifying (3y + -9) + -1(12 + -3y) = 2y + -1 Reorder the terms: (-9 + 3y) + -1(12 + -3y) = 2y + -1 Remove parenthesis around (-9 + 3y) -9 + 3y + -1(12 + -3y) = 2y + -1 -9 + 3y + (12 * -1 + -3y * -1) = 2y + -1 -9 + 3y + (-12 + 3y) = 2y + -1 Reorder the terms: -9 + -12 + 3y + 3y = 2y + -1 Combine like terms: -9 + -12 = -21 -21 + 3y + 3y = 2y + -1 Combine like terms: 3y + 3y = 6y -21 + 6y = 2y + -1 Reorder the terms: -21 + 6y = -1 + 2y Solving -21 + 6y = -1 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -21 + 6y + -2y = -1 + 2y + -2y Combine like terms: 6y + -2y = 4y -21 + 4y = -1 + 2y + -2y Combine like terms: 2y + -2y = 0 -21 + 4y = -1 + 0 -21 + 4y = -1 Add '21' to each side of the equation. -21 + 21 + 4y = -1 + 21 Combine like terms: -21 + 21 = 0 0 + 4y = -1 + 21 4y = -1 + 21 Combine like terms: -1 + 21 = 20 4y = 20 Divide each side by '4'. y = 5 Simplifying y = 5
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