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Simplifying -3(-5y + 9) + -5y = 6(y + -5) + -3 Reorder the terms: -3(9 + -5y) + -5y = 6(y + -5) + -3 (9 * -3 + -5y * -3) + -5y = 6(y + -5) + -3 (-27 + 15y) + -5y = 6(y + -5) + -3 Combine like terms: 15y + -5y = 10y -27 + 10y = 6(y + -5) + -3 Reorder the terms: -27 + 10y = 6(-5 + y) + -3 -27 + 10y = (-5 * 6 + y * 6) + -3 -27 + 10y = (-30 + 6y) + -3 Reorder the terms: -27 + 10y = -30 + -3 + 6y Combine like terms: -30 + -3 = -33 -27 + 10y = -33 + 6y Solving -27 + 10y = -33 + 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 + 10y + -6y = -33 + 6y + -6y Combine like terms: 10y + -6y = 4y -27 + 4y = -33 + 6y + -6y Combine like terms: 6y + -6y = 0 -27 + 4y = -33 + 0 -27 + 4y = -33 Add '27' to each side of the equation. -27 + 27 + 4y = -33 + 27 Combine like terms: -27 + 27 = 0 0 + 4y = -33 + 27 4y = -33 + 27 Combine like terms: -33 + 27 = -6 4y = -6 Divide each side by '4'. y = -1.5 Simplifying y = -1.5
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