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Simplifying -5(3y + 3) + -18 = -9(y + 5) + 3y Reorder the terms: -5(3 + 3y) + -18 = -9(y + 5) + 3y (3 * -5 + 3y * -5) + -18 = -9(y + 5) + 3y (-15 + -15y) + -18 = -9(y + 5) + 3y Reorder the terms: -15 + -18 + -15y = -9(y + 5) + 3y Combine like terms: -15 + -18 = -33 -33 + -15y = -9(y + 5) + 3y Reorder the terms: -33 + -15y = -9(5 + y) + 3y -33 + -15y = (5 * -9 + y * -9) + 3y -33 + -15y = (-45 + -9y) + 3y Combine like terms: -9y + 3y = -6y -33 + -15y = -45 + -6y Solving -33 + -15y = -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. -33 + -15y + 6y = -45 + -6y + 6y Combine like terms: -15y + 6y = -9y -33 + -9y = -45 + -6y + 6y Combine like terms: -6y + 6y = 0 -33 + -9y = -45 + 0 -33 + -9y = -45 Add '33' to each side of the equation. -33 + 33 + -9y = -45 + 33 Combine like terms: -33 + 33 = 0 0 + -9y = -45 + 33 -9y = -45 + 33 Combine like terms: -45 + 33 = -12 -9y = -12 Divide each side by '-9'. y = 1.333333333 Simplifying y = 1.333333333
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