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Simplifying 5(3y + 7) = 13y + 19 Reorder the terms: 5(7 + 3y) = 13y + 19 (7 * 5 + 3y * 5) = 13y + 19 (35 + 15y) = 13y + 19 Reorder the terms: 35 + 15y = 19 + 13y Solving 35 + 15y = 19 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 35 + 15y + -13y = 19 + 13y + -13y Combine like terms: 15y + -13y = 2y 35 + 2y = 19 + 13y + -13y Combine like terms: 13y + -13y = 0 35 + 2y = 19 + 0 35 + 2y = 19 Add '-35' to each side of the equation. 35 + -35 + 2y = 19 + -35 Combine like terms: 35 + -35 = 0 0 + 2y = 19 + -35 2y = 19 + -35 Combine like terms: 19 + -35 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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