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Simplifying -30(y + 15) = 5(y + 8) Reorder the terms: -30(15 + y) = 5(y + 8) (15 * -30 + y * -30) = 5(y + 8) (-450 + -30y) = 5(y + 8) Reorder the terms: -450 + -30y = 5(8 + y) -450 + -30y = (8 * 5 + y * 5) -450 + -30y = (40 + 5y) Solving -450 + -30y = 40 + 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. -450 + -30y + -5y = 40 + 5y + -5y Combine like terms: -30y + -5y = -35y -450 + -35y = 40 + 5y + -5y Combine like terms: 5y + -5y = 0 -450 + -35y = 40 + 0 -450 + -35y = 40 Add '450' to each side of the equation. -450 + 450 + -35y = 40 + 450 Combine like terms: -450 + 450 = 0 0 + -35y = 40 + 450 -35y = 40 + 450 Combine like terms: 40 + 450 = 490 -35y = 490 Divide each side by '-35'. y = -14 Simplifying y = -14
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