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Simplifying (8 + 2y) * 5 + 1(1 + -7y) + -4 = -2 Reorder the terms for easier multiplication: 5(8 + 2y) + 1(1 + -7y) + -4 = -2 (8 * 5 + 2y * 5) + 1(1 + -7y) + -4 = -2 (40 + 10y) + 1(1 + -7y) + -4 = -2 40 + 10y + (1 * 1 + -7y * 1) + -4 = -2 40 + 10y + (1 + -7y) + -4 = -2 Reorder the terms: 40 + 1 + -4 + 10y + -7y = -2 Combine like terms: 40 + 1 = 41 41 + -4 + 10y + -7y = -2 Combine like terms: 41 + -4 = 37 37 + 10y + -7y = -2 Combine like terms: 10y + -7y = 3y 37 + 3y = -2 Solving 37 + 3y = -2 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 + 3y = -2 + -37 Combine like terms: 37 + -37 = 0 0 + 3y = -2 + -37 3y = -2 + -37 Combine like terms: -2 + -37 = -39 3y = -39 Divide each side by '3'. y = -13 Simplifying y = -13
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