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Simplifying -6(y + 9) = -9y + -45 Reorder the terms: -6(9 + y) = -9y + -45 (9 * -6 + y * -6) = -9y + -45 (-54 + -6y) = -9y + -45 Reorder the terms: -54 + -6y = -45 + -9y Solving -54 + -6y = -45 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -54 + -6y + 9y = -45 + -9y + 9y Combine like terms: -6y + 9y = 3y -54 + 3y = -45 + -9y + 9y Combine like terms: -9y + 9y = 0 -54 + 3y = -45 + 0 -54 + 3y = -45 Add '54' to each side of the equation. -54 + 54 + 3y = -45 + 54 Combine like terms: -54 + 54 = 0 0 + 3y = -45 + 54 3y = -45 + 54 Combine like terms: -45 + 54 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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