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Simplifying 7y + -1(9y + -15) = 14 + -1(y + 19) Reorder the terms: 7y + -1(-15 + 9y) = 14 + -1(y + 19) 7y + (-15 * -1 + 9y * -1) = 14 + -1(y + 19) 7y + (15 + -9y) = 14 + -1(y + 19) Reorder the terms: 15 + 7y + -9y = 14 + -1(y + 19) Combine like terms: 7y + -9y = -2y 15 + -2y = 14 + -1(y + 19) Reorder the terms: 15 + -2y = 14 + -1(19 + y) 15 + -2y = 14 + (19 * -1 + y * -1) 15 + -2y = 14 + (-19 + -1y) Combine like terms: 14 + -19 = -5 15 + -2y = -5 + -1y Solving 15 + -2y = -5 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 15 + -2y + y = -5 + -1y + y Combine like terms: -2y + y = -1y 15 + -1y = -5 + -1y + y Combine like terms: -1y + y = 0 15 + -1y = -5 + 0 15 + -1y = -5 Add '-15' to each side of the equation. 15 + -15 + -1y = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = -5 + -15 -1y = -5 + -15 Combine like terms: -5 + -15 = -20 -1y = -20 Divide each side by '-1'. y = 20 Simplifying y = 20
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