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Simplifying 3(2y + 5) + 19 = 6(5y + -4) + -9 Reorder the terms: 3(5 + 2y) + 19 = 6(5y + -4) + -9 (5 * 3 + 2y * 3) + 19 = 6(5y + -4) + -9 (15 + 6y) + 19 = 6(5y + -4) + -9 Reorder the terms: 15 + 19 + 6y = 6(5y + -4) + -9 Combine like terms: 15 + 19 = 34 34 + 6y = 6(5y + -4) + -9 Reorder the terms: 34 + 6y = 6(-4 + 5y) + -9 34 + 6y = (-4 * 6 + 5y * 6) + -9 34 + 6y = (-24 + 30y) + -9 Reorder the terms: 34 + 6y = -24 + -9 + 30y Combine like terms: -24 + -9 = -33 34 + 6y = -33 + 30y Solving 34 + 6y = -33 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. 34 + 6y + -30y = -33 + 30y + -30y Combine like terms: 6y + -30y = -24y 34 + -24y = -33 + 30y + -30y Combine like terms: 30y + -30y = 0 34 + -24y = -33 + 0 34 + -24y = -33 Add '-34' to each side of the equation. 34 + -34 + -24y = -33 + -34 Combine like terms: 34 + -34 = 0 0 + -24y = -33 + -34 -24y = -33 + -34 Combine like terms: -33 + -34 = -67 -24y = -67 Divide each side by '-24'. y = 2.791666667 Simplifying y = 2.791666667
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