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Simplifying 2(3y + -10) = 4(10 + 6y) + -24 Reorder the terms: 2(-10 + 3y) = 4(10 + 6y) + -24 (-10 * 2 + 3y * 2) = 4(10 + 6y) + -24 (-20 + 6y) = 4(10 + 6y) + -24 -20 + 6y = (10 * 4 + 6y * 4) + -24 -20 + 6y = (40 + 24y) + -24 Reorder the terms: -20 + 6y = 40 + -24 + 24y Combine like terms: 40 + -24 = 16 -20 + 6y = 16 + 24y Solving -20 + 6y = 16 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -20 + 6y + -24y = 16 + 24y + -24y Combine like terms: 6y + -24y = -18y -20 + -18y = 16 + 24y + -24y Combine like terms: 24y + -24y = 0 -20 + -18y = 16 + 0 -20 + -18y = 16 Add '20' to each side of the equation. -20 + 20 + -18y = 16 + 20 Combine like terms: -20 + 20 = 0 0 + -18y = 16 + 20 -18y = 16 + 20 Combine like terms: 16 + 20 = 36 -18y = 36 Divide each side by '-18'. y = -2 Simplifying y = -2
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