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Simplifying 8(4 + -1y) + 10 = 6y (4 * 8 + -1y * 8) + 10 = 6y (32 + -8y) + 10 = 6y Reorder the terms: 32 + 10 + -8y = 6y Combine like terms: 32 + 10 = 42 42 + -8y = 6y Solving 42 + -8y = 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 42 + -8y + -6y = 6y + -6y Combine like terms: -8y + -6y = -14y 42 + -14y = 6y + -6y Combine like terms: 6y + -6y = 0 42 + -14y = 0 Add '-42' to each side of the equation. 42 + -42 + -14y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -14y = 0 + -42 -14y = 0 + -42 Combine like terms: 0 + -42 = -42 -14y = -42 Divide each side by '-14'. y = 3 Simplifying y = 3
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