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Simplifying 19 = 5(y + 3) + -7y Reorder the terms: 19 = 5(3 + y) + -7y 19 = (3 * 5 + y * 5) + -7y 19 = (15 + 5y) + -7y Combine like terms: 5y + -7y = -2y 19 = 15 + -2y Solving 19 = 15 + -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. 19 + 2y = 15 + -2y + 2y Combine like terms: -2y + 2y = 0 19 + 2y = 15 + 0 19 + 2y = 15 Add '-19' to each side of the equation. 19 + -19 + 2y = 15 + -19 Combine like terms: 19 + -19 = 0 0 + 2y = 15 + -19 2y = 15 + -19 Combine like terms: 15 + -19 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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