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Simplifying 4(5 + -2y) = 8(3x + 7) (5 * 4 + -2y * 4) = 8(3x + 7) (20 + -8y) = 8(3x + 7) Reorder the terms: 20 + -8y = 8(7 + 3x) 20 + -8y = (7 * 8 + 3x * 8) 20 + -8y = (56 + 24x) Solving 20 + -8y = 56 + 24x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -8y = 56 + -20 + 24x Combine like terms: 20 + -20 = 0 0 + -8y = 56 + -20 + 24x -8y = 56 + -20 + 24x Combine like terms: 56 + -20 = 36 -8y = 36 + 24x Divide each side by '-8'. y = -4.5 + -3x Simplifying y = -4.5 + -3x
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