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Simplifying 5(2y + 8) + 3y + 2 = 10y Reorder the terms: 5(8 + 2y) + 3y + 2 = 10y (8 * 5 + 2y * 5) + 3y + 2 = 10y (40 + 10y) + 3y + 2 = 10y Reorder the terms: 40 + 2 + 10y + 3y = 10y Combine like terms: 40 + 2 = 42 42 + 10y + 3y = 10y Combine like terms: 10y + 3y = 13y 42 + 13y = 10y Solving 42 + 13y = 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 42 + 13y + -10y = 10y + -10y Combine like terms: 13y + -10y = 3y 42 + 3y = 10y + -10y Combine like terms: 10y + -10y = 0 42 + 3y = 0 Add '-42' to each side of the equation. 42 + -42 + 3y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 3y = 0 + -42 3y = 0 + -42 Combine like terms: 0 + -42 = -42 3y = -42 Divide each side by '3'. y = -14 Simplifying y = -14
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