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Simplifying 5(6y + -4) = 2(3y + 14) Reorder the terms: 5(-4 + 6y) = 2(3y + 14) (-4 * 5 + 6y * 5) = 2(3y + 14) (-20 + 30y) = 2(3y + 14) Reorder the terms: -20 + 30y = 2(14 + 3y) -20 + 30y = (14 * 2 + 3y * 2) -20 + 30y = (28 + 6y) Solving -20 + 30y = 28 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -20 + 30y + -6y = 28 + 6y + -6y Combine like terms: 30y + -6y = 24y -20 + 24y = 28 + 6y + -6y Combine like terms: 6y + -6y = 0 -20 + 24y = 28 + 0 -20 + 24y = 28 Add '20' to each side of the equation. -20 + 20 + 24y = 28 + 20 Combine like terms: -20 + 20 = 0 0 + 24y = 28 + 20 24y = 28 + 20 Combine like terms: 28 + 20 = 48 24y = 48 Divide each side by '24'. y = 2 Simplifying y = 2
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