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Simplifying 15y + -10 + 19 = 2(19y + -1) + -1y Reorder the terms: -10 + 19 + 15y = 2(19y + -1) + -1y Combine like terms: -10 + 19 = 9 9 + 15y = 2(19y + -1) + -1y Reorder the terms: 9 + 15y = 2(-1 + 19y) + -1y 9 + 15y = (-1 * 2 + 19y * 2) + -1y 9 + 15y = (-2 + 38y) + -1y Combine like terms: 38y + -1y = 37y 9 + 15y = -2 + 37y Solving 9 + 15y = -2 + 37y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-37y' to each side of the equation. 9 + 15y + -37y = -2 + 37y + -37y Combine like terms: 15y + -37y = -22y 9 + -22y = -2 + 37y + -37y Combine like terms: 37y + -37y = 0 9 + -22y = -2 + 0 9 + -22y = -2 Add '-9' to each side of the equation. 9 + -9 + -22y = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -22y = -2 + -9 -22y = -2 + -9 Combine like terms: -2 + -9 = -11 -22y = -11 Divide each side by '-22'. y = 0.5 Simplifying y = 0.5
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