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Simplifying 2(y + 5) + -4(7 + -3y) = -74 Reorder the terms: 2(5 + y) + -4(7 + -3y) = -74 (5 * 2 + y * 2) + -4(7 + -3y) = -74 (10 + 2y) + -4(7 + -3y) = -74 10 + 2y + (7 * -4 + -3y * -4) = -74 10 + 2y + (-28 + 12y) = -74 Reorder the terms: 10 + -28 + 2y + 12y = -74 Combine like terms: 10 + -28 = -18 -18 + 2y + 12y = -74 Combine like terms: 2y + 12y = 14y -18 + 14y = -74 Solving -18 + 14y = -74 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 14y = -74 + 18 Combine like terms: -18 + 18 = 0 0 + 14y = -74 + 18 14y = -74 + 18 Combine like terms: -74 + 18 = -56 14y = -56 Divide each side by '14'. y = -4 Simplifying y = -4
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