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Simplifying 6(5 + y) = 5(y + -3) (5 * 6 + y * 6) = 5(y + -3) (30 + 6y) = 5(y + -3) Reorder the terms: 30 + 6y = 5(-3 + y) 30 + 6y = (-3 * 5 + y * 5) 30 + 6y = (-15 + 5y) Solving 30 + 6y = -15 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 30 + 6y + -5y = -15 + 5y + -5y Combine like terms: 6y + -5y = 1y 30 + 1y = -15 + 5y + -5y Combine like terms: 5y + -5y = 0 30 + 1y = -15 + 0 30 + 1y = -15 Add '-30' to each side of the equation. 30 + -30 + 1y = -15 + -30 Combine like terms: 30 + -30 = 0 0 + 1y = -15 + -30 1y = -15 + -30 Combine like terms: -15 + -30 = -45 1y = -45 Divide each side by '1'. y = -45 Simplifying y = -45
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