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Simplifying 7(y + 6) = -6(2y + -4) + 9y Reorder the terms: 7(6 + y) = -6(2y + -4) + 9y (6 * 7 + y * 7) = -6(2y + -4) + 9y (42 + 7y) = -6(2y + -4) + 9y Reorder the terms: 42 + 7y = -6(-4 + 2y) + 9y 42 + 7y = (-4 * -6 + 2y * -6) + 9y 42 + 7y = (24 + -12y) + 9y Combine like terms: -12y + 9y = -3y 42 + 7y = 24 + -3y Solving 42 + 7y = 24 + -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. 42 + 7y + 3y = 24 + -3y + 3y Combine like terms: 7y + 3y = 10y 42 + 10y = 24 + -3y + 3y Combine like terms: -3y + 3y = 0 42 + 10y = 24 + 0 42 + 10y = 24 Add '-42' to each side of the equation. 42 + -42 + 10y = 24 + -42 Combine like terms: 42 + -42 = 0 0 + 10y = 24 + -42 10y = 24 + -42 Combine like terms: 24 + -42 = -18 10y = -18 Divide each side by '10'. y = -1.8 Simplifying y = -1.8
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