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Simplifying 9y + -3(y + 4) = (4 + y) * 3 Reorder the terms: 9y + -3(4 + y) = (4 + y) * 3 9y + (4 * -3 + y * -3) = (4 + y) * 3 9y + (-12 + -3y) = (4 + y) * 3 Reorder the terms: -12 + 9y + -3y = (4 + y) * 3 Combine like terms: 9y + -3y = 6y -12 + 6y = (4 + y) * 3 Reorder the terms for easier multiplication: -12 + 6y = 3(4 + y) -12 + 6y = (4 * 3 + y * 3) -12 + 6y = (12 + 3y) Solving -12 + 6y = 12 + 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. -12 + 6y + -3y = 12 + 3y + -3y Combine like terms: 6y + -3y = 3y -12 + 3y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 3y = 12 + 0 -12 + 3y = 12 Add '12' to each side of the equation. -12 + 12 + 3y = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 3y = 12 + 12 3y = 12 + 12 Combine like terms: 12 + 12 = 24 3y = 24 Divide each side by '3'. y = 8 Simplifying y = 8
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