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Simplifying 8(-12y + 3) = 18 + -10(19y + 10) + 20(4y + -14) Reorder the terms: 8(3 + -12y) = 18 + -10(19y + 10) + 20(4y + -14) (3 * 8 + -12y * 8) = 18 + -10(19y + 10) + 20(4y + -14) (24 + -96y) = 18 + -10(19y + 10) + 20(4y + -14) Reorder the terms: 24 + -96y = 18 + -10(10 + 19y) + 20(4y + -14) 24 + -96y = 18 + (10 * -10 + 19y * -10) + 20(4y + -14) 24 + -96y = 18 + (-100 + -190y) + 20(4y + -14) Reorder the terms: 24 + -96y = 18 + -100 + -190y + 20(-14 + 4y) 24 + -96y = 18 + -100 + -190y + (-14 * 20 + 4y * 20) 24 + -96y = 18 + -100 + -190y + (-280 + 80y) Reorder the terms: 24 + -96y = 18 + -100 + -280 + -190y + 80y Combine like terms: 18 + -100 = -82 24 + -96y = -82 + -280 + -190y + 80y Combine like terms: -82 + -280 = -362 24 + -96y = -362 + -190y + 80y Combine like terms: -190y + 80y = -110y 24 + -96y = -362 + -110y Solving 24 + -96y = -362 + -110y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '110y' to each side of the equation. 24 + -96y + 110y = -362 + -110y + 110y Combine like terms: -96y + 110y = 14y 24 + 14y = -362 + -110y + 110y Combine like terms: -110y + 110y = 0 24 + 14y = -362 + 0 24 + 14y = -362 Add '-24' to each side of the equation. 24 + -24 + 14y = -362 + -24 Combine like terms: 24 + -24 = 0 0 + 14y = -362 + -24 14y = -362 + -24 Combine like terms: -362 + -24 = -386 14y = -386 Divide each side by '14'. y = -27.57142857 Simplifying y = -27.57142857
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