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Simplifying -4(7y + 9) = (3 + -5y) * 3 + -4x Reorder the terms: -4(9 + 7y) = (3 + -5y) * 3 + -4x (9 * -4 + 7y * -4) = (3 + -5y) * 3 + -4x (-36 + -28y) = (3 + -5y) * 3 + -4x Reorder the terms for easier multiplication: -36 + -28y = 3(3 + -5y) + -4x -36 + -28y = (3 * 3 + -5y * 3) + -4x -36 + -28y = (9 + -15y) + -4x Reorder the terms: -36 + -28y = 9 + -4x + -15y Solving -36 + -28y = 9 + -4x + -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. -36 + -28y + 15y = 9 + -4x + -15y + 15y Combine like terms: -28y + 15y = -13y -36 + -13y = 9 + -4x + -15y + 15y Combine like terms: -15y + 15y = 0 -36 + -13y = 9 + -4x + 0 -36 + -13y = 9 + -4x Add '36' to each side of the equation. -36 + 36 + -13y = 9 + 36 + -4x Combine like terms: -36 + 36 = 0 0 + -13y = 9 + 36 + -4x -13y = 9 + 36 + -4x Combine like terms: 9 + 36 = 45 -13y = 45 + -4x Divide each side by '-13'. y = -3.461538462 + 0.3076923077x Simplifying y = -3.461538462 + 0.3076923077x
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