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Simplifying 2(y + 2) + y = 19 + -2(2y + 3) Reorder the terms: 2(2 + y) + y = 19 + -2(2y + 3) (2 * 2 + y * 2) + y = 19 + -2(2y + 3) (4 + 2y) + y = 19 + -2(2y + 3) Combine like terms: 2y + y = 3y 4 + 3y = 19 + -2(2y + 3) Reorder the terms: 4 + 3y = 19 + -2(3 + 2y) 4 + 3y = 19 + (3 * -2 + 2y * -2) 4 + 3y = 19 + (-6 + -4y) Combine like terms: 19 + -6 = 13 4 + 3y = 13 + -4y Solving 4 + 3y = 13 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 4 + 3y + 4y = 13 + -4y + 4y Combine like terms: 3y + 4y = 7y 4 + 7y = 13 + -4y + 4y Combine like terms: -4y + 4y = 0 4 + 7y = 13 + 0 4 + 7y = 13 Add '-4' to each side of the equation. 4 + -4 + 7y = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 7y = 13 + -4 7y = 13 + -4 Combine like terms: 13 + -4 = 9 7y = 9 Divide each side by '7'. y = 1.285714286 Simplifying y = 1.285714286
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