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Simplifying 7(2y + 8) + 1 + -4(y + 5) = 0 Reorder the terms: 7(8 + 2y) + 1 + -4(y + 5) = 0 (8 * 7 + 2y * 7) + 1 + -4(y + 5) = 0 (56 + 14y) + 1 + -4(y + 5) = 0 Reorder the terms: 56 + 14y + 1 + -4(5 + y) = 0 56 + 14y + 1 + (5 * -4 + y * -4) = 0 56 + 14y + 1 + (-20 + -4y) = 0 Reorder the terms: 56 + 1 + -20 + 14y + -4y = 0 Combine like terms: 56 + 1 = 57 57 + -20 + 14y + -4y = 0 Combine like terms: 57 + -20 = 37 37 + 14y + -4y = 0 Combine like terms: 14y + -4y = 10y 37 + 10y = 0 Solving 37 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 10y = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 10y = 0 + -37 10y = 0 + -37 Combine like terms: 0 + -37 = -37 10y = -37 Divide each side by '10'. y = -3.7 Simplifying y = -3.7
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