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Simplifying -6(y + 7) = 8y + 28 Reorder the terms: -6(7 + y) = 8y + 28 (7 * -6 + y * -6) = 8y + 28 (-42 + -6y) = 8y + 28 Reorder the terms: -42 + -6y = 28 + 8y Solving -42 + -6y = 28 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -42 + -6y + -8y = 28 + 8y + -8y Combine like terms: -6y + -8y = -14y -42 + -14y = 28 + 8y + -8y Combine like terms: 8y + -8y = 0 -42 + -14y = 28 + 0 -42 + -14y = 28 Add '42' to each side of the equation. -42 + 42 + -14y = 28 + 42 Combine like terms: -42 + 42 = 0 0 + -14y = 28 + 42 -14y = 28 + 42 Combine like terms: 28 + 42 = 70 -14y = 70 Divide each side by '-14'. y = -5 Simplifying y = -5
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