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Simplifying -8(y + 9) = 6y + 12 Reorder the terms: -8(9 + y) = 6y + 12 (9 * -8 + y * -8) = 6y + 12 (-72 + -8y) = 6y + 12 Reorder the terms: -72 + -8y = 12 + 6y Solving -72 + -8y = 12 + 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. -72 + -8y + -6y = 12 + 6y + -6y Combine like terms: -8y + -6y = -14y -72 + -14y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -72 + -14y = 12 + 0 -72 + -14y = 12 Add '72' to each side of the equation. -72 + 72 + -14y = 12 + 72 Combine like terms: -72 + 72 = 0 0 + -14y = 12 + 72 -14y = 12 + 72 Combine like terms: 12 + 72 = 84 -14y = 84 Divide each side by '-14'. y = -6 Simplifying y = -6
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