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Simplifying 19(2 + -1y) = 5y + 2(y + 7) (2 * 19 + -1y * 19) = 5y + 2(y + 7) (38 + -19y) = 5y + 2(y + 7) Reorder the terms: 38 + -19y = 5y + 2(7 + y) 38 + -19y = 5y + (7 * 2 + y * 2) 38 + -19y = 5y + (14 + 2y) Reorder the terms: 38 + -19y = 14 + 5y + 2y Combine like terms: 5y + 2y = 7y 38 + -19y = 14 + 7y Solving 38 + -19y = 14 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 38 + -19y + -7y = 14 + 7y + -7y Combine like terms: -19y + -7y = -26y 38 + -26y = 14 + 7y + -7y Combine like terms: 7y + -7y = 0 38 + -26y = 14 + 0 38 + -26y = 14 Add '-38' to each side of the equation. 38 + -38 + -26y = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -26y = 14 + -38 -26y = 14 + -38 Combine like terms: 14 + -38 = -24 -26y = -24 Divide each side by '-26'. y = 0.9230769231 Simplifying y = 0.9230769231
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