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Simplifying -3(6y + 9) = 3(y + -5) Reorder the terms: -3(9 + 6y) = 3(y + -5) (9 * -3 + 6y * -3) = 3(y + -5) (-27 + -18y) = 3(y + -5) Reorder the terms: -27 + -18y = 3(-5 + y) -27 + -18y = (-5 * 3 + y * 3) -27 + -18y = (-15 + 3y) Solving -27 + -18y = -15 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -27 + -18y + -3y = -15 + 3y + -3y Combine like terms: -18y + -3y = -21y -27 + -21y = -15 + 3y + -3y Combine like terms: 3y + -3y = 0 -27 + -21y = -15 + 0 -27 + -21y = -15 Add '27' to each side of the equation. -27 + 27 + -21y = -15 + 27 Combine like terms: -27 + 27 = 0 0 + -21y = -15 + 27 -21y = -15 + 27 Combine like terms: -15 + 27 = 12 -21y = 12 Divide each side by '-21'. y = -0.5714285714 Simplifying y = -0.5714285714
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