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Simplifying 2(y + 2) = 19 + -1(2y + 3) Reorder the terms: 2(2 + y) = 19 + -1(2y + 3) (2 * 2 + y * 2) = 19 + -1(2y + 3) (4 + 2y) = 19 + -1(2y + 3) Reorder the terms: 4 + 2y = 19 + -1(3 + 2y) 4 + 2y = 19 + (3 * -1 + 2y * -1) 4 + 2y = 19 + (-3 + -2y) Combine like terms: 19 + -3 = 16 4 + 2y = 16 + -2y Solving 4 + 2y = 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 + 2y + 2y = 16 + -2y + 2y Combine like terms: 2y + 2y = 4y 4 + 4y = 16 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + 4y = 16 + 0 4 + 4y = 16 Add '-4' to each side of the equation. 4 + -4 + 4y = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 4y = 16 + -4 4y = 16 + -4 Combine like terms: 16 + -4 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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