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Simplifying 2(1y + 2) + 1y = 19 + -1(2y + 3) Reorder the terms: 2(2 + 1y) + 1y = 19 + -1(2y + 3) (2 * 2 + 1y * 2) + 1y = 19 + -1(2y + 3) (4 + 2y) + 1y = 19 + -1(2y + 3) Combine like terms: 2y + 1y = 3y 4 + 3y = 19 + -1(2y + 3) Reorder the terms: 4 + 3y = 19 + -1(3 + 2y) 4 + 3y = 19 + (3 * -1 + 2y * -1) 4 + 3y = 19 + (-3 + -2y) Combine like terms: 19 + -3 = 16 4 + 3y = 16 + -2y Solving 4 + 3y = 16 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 4 + 3y + 2y = 16 + -2y + 2y Combine like terms: 3y + 2y = 5y 4 + 5y = 16 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + 5y = 16 + 0 4 + 5y = 16 Add '-4' to each side of the equation. 4 + -4 + 5y = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 5y = 16 + -4 5y = 16 + -4 Combine like terms: 16 + -4 = 12 5y = 12 Divide each side by '5'. y = 2.4 Simplifying y = 2.4
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