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Simplifying -2(y + 9) = 6y + -2 Reorder the terms: -2(9 + y) = 6y + -2 (9 * -2 + y * -2) = 6y + -2 (-18 + -2y) = 6y + -2 Reorder the terms: -18 + -2y = -2 + 6y Solving -18 + -2y = -2 + 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. -18 + -2y + -6y = -2 + 6y + -6y Combine like terms: -2y + -6y = -8y -18 + -8y = -2 + 6y + -6y Combine like terms: 6y + -6y = 0 -18 + -8y = -2 + 0 -18 + -8y = -2 Add '18' to each side of the equation. -18 + 18 + -8y = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -8y = -2 + 18 -8y = -2 + 18 Combine like terms: -2 + 18 = 16 -8y = 16 Divide each side by '-8'. y = -2 Simplifying y = -2
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