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Simplifying 2(y + 2) + y = 19(2y + 3) Reorder the terms: 2(2 + y) + y = 19(2y + 3) (2 * 2 + y * 2) + y = 19(2y + 3) (4 + 2y) + y = 19(2y + 3) Combine like terms: 2y + y = 3y 4 + 3y = 19(2y + 3) Reorder the terms: 4 + 3y = 19(3 + 2y) 4 + 3y = (3 * 19 + 2y * 19) 4 + 3y = (57 + 38y) Solving 4 + 3y = 57 + 38y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-38y' to each side of the equation. 4 + 3y + -38y = 57 + 38y + -38y Combine like terms: 3y + -38y = -35y 4 + -35y = 57 + 38y + -38y Combine like terms: 38y + -38y = 0 4 + -35y = 57 + 0 4 + -35y = 57 Add '-4' to each side of the equation. 4 + -4 + -35y = 57 + -4 Combine like terms: 4 + -4 = 0 0 + -35y = 57 + -4 -35y = 57 + -4 Combine like terms: 57 + -4 = 53 -35y = 53 Divide each side by '-35'. y = -1.514285714 Simplifying y = -1.514285714
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