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Simplifying 4(2y + 2) + 10 = 6(5y + 4) + -19 Reorder the terms: 4(2 + 2y) + 10 = 6(5y + 4) + -19 (2 * 4 + 2y * 4) + 10 = 6(5y + 4) + -19 (8 + 8y) + 10 = 6(5y + 4) + -19 Reorder the terms: 8 + 10 + 8y = 6(5y + 4) + -19 Combine like terms: 8 + 10 = 18 18 + 8y = 6(5y + 4) + -19 Reorder the terms: 18 + 8y = 6(4 + 5y) + -19 18 + 8y = (4 * 6 + 5y * 6) + -19 18 + 8y = (24 + 30y) + -19 Reorder the terms: 18 + 8y = 24 + -19 + 30y Combine like terms: 24 + -19 = 5 18 + 8y = 5 + 30y Solving 18 + 8y = 5 + 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. 18 + 8y + -30y = 5 + 30y + -30y Combine like terms: 8y + -30y = -22y 18 + -22y = 5 + 30y + -30y Combine like terms: 30y + -30y = 0 18 + -22y = 5 + 0 18 + -22y = 5 Add '-18' to each side of the equation. 18 + -18 + -22y = 5 + -18 Combine like terms: 18 + -18 = 0 0 + -22y = 5 + -18 -22y = 5 + -18 Combine like terms: 5 + -18 = -13 -22y = -13 Divide each side by '-22'. y = 0.5909090909 Simplifying y = 0.5909090909
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