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Simplifying 5(6y + 3) + 22 = 2(3y + 3) + -19 Reorder the terms: 5(3 + 6y) + 22 = 2(3y + 3) + -19 (3 * 5 + 6y * 5) + 22 = 2(3y + 3) + -19 (15 + 30y) + 22 = 2(3y + 3) + -19 Reorder the terms: 15 + 22 + 30y = 2(3y + 3) + -19 Combine like terms: 15 + 22 = 37 37 + 30y = 2(3y + 3) + -19 Reorder the terms: 37 + 30y = 2(3 + 3y) + -19 37 + 30y = (3 * 2 + 3y * 2) + -19 37 + 30y = (6 + 6y) + -19 Reorder the terms: 37 + 30y = 6 + -19 + 6y Combine like terms: 6 + -19 = -13 37 + 30y = -13 + 6y Solving 37 + 30y = -13 + 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. 37 + 30y + -6y = -13 + 6y + -6y Combine like terms: 30y + -6y = 24y 37 + 24y = -13 + 6y + -6y Combine like terms: 6y + -6y = 0 37 + 24y = -13 + 0 37 + 24y = -13 Add '-37' to each side of the equation. 37 + -37 + 24y = -13 + -37 Combine like terms: 37 + -37 = 0 0 + 24y = -13 + -37 24y = -13 + -37 Combine like terms: -13 + -37 = -50 24y = -50 Divide each side by '24'. y = -2.083333333 Simplifying y = -2.083333333
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