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Simplifying 9(y + -4) = 6y + -42 Reorder the terms: 9(-4 + y) = 6y + -42 (-4 * 9 + y * 9) = 6y + -42 (-36 + 9y) = 6y + -42 Reorder the terms: -36 + 9y = -42 + 6y Solving -36 + 9y = -42 + 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. -36 + 9y + -6y = -42 + 6y + -6y Combine like terms: 9y + -6y = 3y -36 + 3y = -42 + 6y + -6y Combine like terms: 6y + -6y = 0 -36 + 3y = -42 + 0 -36 + 3y = -42 Add '36' to each side of the equation. -36 + 36 + 3y = -42 + 36 Combine like terms: -36 + 36 = 0 0 + 3y = -42 + 36 3y = -42 + 36 Combine like terms: -42 + 36 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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