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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 = 77 77 + 14y + -4y = 0 Combine like terms: 14y + -4y = 10y 77 + 10y = 0 Solving 77 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + 10y = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 10y = 0 + -77 10y = 0 + -77 Combine like terms: 0 + -77 = -77 10y = -77 Divide each side by '10'. y = -7.7 Simplifying y = -7.7
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