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Simplifying 6 + -6(y + 9) = 6 + -3y Reorder the terms: 6 + -6(9 + y) = 6 + -3y 6 + (9 * -6 + y * -6) = 6 + -3y 6 + (-54 + -6y) = 6 + -3y Combine like terms: 6 + -54 = -48 -48 + -6y = 6 + -3y Solving -48 + -6y = 6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -48 + -6y + 3y = 6 + -3y + 3y Combine like terms: -6y + 3y = -3y -48 + -3y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 -48 + -3y = 6 + 0 -48 + -3y = 6 Add '48' to each side of the equation. -48 + 48 + -3y = 6 + 48 Combine like terms: -48 + 48 = 0 0 + -3y = 6 + 48 -3y = 6 + 48 Combine like terms: 6 + 48 = 54 -3y = 54 Divide each side by '-3'. y = -18 Simplifying y = -18
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