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Simplifying 5(y + 7) + -2(3 + y) = 2 Reorder the terms: 5(7 + y) + -2(3 + y) = 2 (7 * 5 + y * 5) + -2(3 + y) = 2 (35 + 5y) + -2(3 + y) = 2 35 + 5y + (3 * -2 + y * -2) = 2 35 + 5y + (-6 + -2y) = 2 Reorder the terms: 35 + -6 + 5y + -2y = 2 Combine like terms: 35 + -6 = 29 29 + 5y + -2y = 2 Combine like terms: 5y + -2y = 3y 29 + 3y = 2 Solving 29 + 3y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 3y = 2 + -29 Combine like terms: 29 + -29 = 0 0 + 3y = 2 + -29 3y = 2 + -29 Combine like terms: 2 + -29 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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