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Simplifying 10 + -8(y + 3) = 6y + -42 Reorder the terms: 10 + -8(3 + y) = 6y + -42 10 + (3 * -8 + y * -8) = 6y + -42 10 + (-24 + -8y) = 6y + -42 Combine like terms: 10 + -24 = -14 -14 + -8y = 6y + -42 Reorder the terms: -14 + -8y = -42 + 6y Solving -14 + -8y = -42 + 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. -14 + -8y + -6y = -42 + 6y + -6y Combine like terms: -8y + -6y = -14y -14 + -14y = -42 + 6y + -6y Combine like terms: 6y + -6y = 0 -14 + -14y = -42 + 0 -14 + -14y = -42 Add '14' to each side of the equation. -14 + 14 + -14y = -42 + 14 Combine like terms: -14 + 14 = 0 0 + -14y = -42 + 14 -14y = -42 + 14 Combine like terms: -42 + 14 = -28 -14y = -28 Divide each side by '-14'. y = 2 Simplifying y = 2
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