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Simplifying 5(y + 3) + -2(4y + -10) = 14 Reorder the terms: 5(3 + y) + -2(4y + -10) = 14 (3 * 5 + y * 5) + -2(4y + -10) = 14 (15 + 5y) + -2(4y + -10) = 14 Reorder the terms: 15 + 5y + -2(-10 + 4y) = 14 15 + 5y + (-10 * -2 + 4y * -2) = 14 15 + 5y + (20 + -8y) = 14 Reorder the terms: 15 + 20 + 5y + -8y = 14 Combine like terms: 15 + 20 = 35 35 + 5y + -8y = 14 Combine like terms: 5y + -8y = -3y 35 + -3y = 14 Solving 35 + -3y = 14 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -3y = 14 + -35 Combine like terms: 35 + -35 = 0 0 + -3y = 14 + -35 -3y = 14 + -35 Combine like terms: 14 + -35 = -21 -3y = -21 Divide each side by '-3'. y = 7 Simplifying y = 7
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