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Simplifying 6(y + -4) = 3(y + 9) Reorder the terms: 6(-4 + y) = 3(y + 9) (-4 * 6 + y * 6) = 3(y + 9) (-24 + 6y) = 3(y + 9) Reorder the terms: -24 + 6y = 3(9 + y) -24 + 6y = (9 * 3 + y * 3) -24 + 6y = (27 + 3y) Solving -24 + 6y = 27 + 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. -24 + 6y + -3y = 27 + 3y + -3y Combine like terms: 6y + -3y = 3y -24 + 3y = 27 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 3y = 27 + 0 -24 + 3y = 27 Add '24' to each side of the equation. -24 + 24 + 3y = 27 + 24 Combine like terms: -24 + 24 = 0 0 + 3y = 27 + 24 3y = 27 + 24 Combine like terms: 27 + 24 = 51 3y = 51 Divide each side by '3'. y = 17 Simplifying y = 17
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