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Simplifying -6y + 42 = -9(y + -3) Reorder the terms: 42 + -6y = -9(y + -3) Reorder the terms: 42 + -6y = -9(-3 + y) 42 + -6y = (-3 * -9 + y * -9) 42 + -6y = (27 + -9y) Solving 42 + -6y = 27 + -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. 42 + -6y + 9y = 27 + -9y + 9y Combine like terms: -6y + 9y = 3y 42 + 3y = 27 + -9y + 9y Combine like terms: -9y + 9y = 0 42 + 3y = 27 + 0 42 + 3y = 27 Add '-42' to each side of the equation. 42 + -42 + 3y = 27 + -42 Combine like terms: 42 + -42 = 0 0 + 3y = 27 + -42 3y = 27 + -42 Combine like terms: 27 + -42 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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