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Simplifying -2(y + 5) = 8y + -30 Reorder the terms: -2(5 + y) = 8y + -30 (5 * -2 + y * -2) = 8y + -30 (-10 + -2y) = 8y + -30 Reorder the terms: -10 + -2y = -30 + 8y Solving -10 + -2y = -30 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -10 + -2y + -8y = -30 + 8y + -8y Combine like terms: -2y + -8y = -10y -10 + -10y = -30 + 8y + -8y Combine like terms: 8y + -8y = 0 -10 + -10y = -30 + 0 -10 + -10y = -30 Add '10' to each side of the equation. -10 + 10 + -10y = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -10y = -30 + 10 -10y = -30 + 10 Combine like terms: -30 + 10 = -20 -10y = -20 Divide each side by '-10'. y = 2 Simplifying y = 2
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