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Simplifying 3(y + -9) = 6y + -45 Reorder the terms: 3(-9 + y) = 6y + -45 (-9 * 3 + y * 3) = 6y + -45 (-27 + 3y) = 6y + -45 Reorder the terms: -27 + 3y = -45 + 6y Solving -27 + 3y = -45 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -27 + 3y + -6y = -45 + 6y + -6y Combine like terms: 3y + -6y = -3y -27 + -3y = -45 + 6y + -6y Combine like terms: 6y + -6y = 0 -27 + -3y = -45 + 0 -27 + -3y = -45 Add '27' to each side of the equation. -27 + 27 + -3y = -45 + 27 Combine like terms: -27 + 27 = 0 0 + -3y = -45 + 27 -3y = -45 + 27 Combine like terms: -45 + 27 = -18 -3y = -18 Divide each side by '-3'. y = 6 Simplifying y = 6
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