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Simplifying 6(5 + -4y) = 8(y + 3) (5 * 6 + -4y * 6) = 8(y + 3) (30 + -24y) = 8(y + 3) Reorder the terms: 30 + -24y = 8(3 + y) 30 + -24y = (3 * 8 + y * 8) 30 + -24y = (24 + 8y) Solving 30 + -24y = 24 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 30 + -24y + -8y = 24 + 8y + -8y Combine like terms: -24y + -8y = -32y 30 + -32y = 24 + 8y + -8y Combine like terms: 8y + -8y = 0 30 + -32y = 24 + 0 30 + -32y = 24 Add '-30' to each side of the equation. 30 + -30 + -32y = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -32y = 24 + -30 -32y = 24 + -30 Combine like terms: 24 + -30 = -6 -32y = -6 Divide each side by '-32'. y = 0.1875 Simplifying y = 0.1875
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