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Simplifying 5(6y + -3) = (4x + 7) * 3 Reorder the terms: 5(-3 + 6y) = (4x + 7) * 3 (-3 * 5 + 6y * 5) = (4x + 7) * 3 (-15 + 30y) = (4x + 7) * 3 Reorder the terms: -15 + 30y = (7 + 4x) * 3 Reorder the terms for easier multiplication: -15 + 30y = 3(7 + 4x) -15 + 30y = (7 * 3 + 4x * 3) -15 + 30y = (21 + 12x) Solving -15 + 30y = 21 + 12x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 30y = 21 + 15 + 12x Combine like terms: -15 + 15 = 0 0 + 30y = 21 + 15 + 12x 30y = 21 + 15 + 12x Combine like terms: 21 + 15 = 36 30y = 36 + 12x Divide each side by '30'. y = 1.2 + 0.4x Simplifying y = 1.2 + 0.4x
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