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Simplifying 6(4 + y) = 8(3 + y) + 10 (4 * 6 + y * 6) = 8(3 + y) + 10 (24 + 6y) = 8(3 + y) + 10 24 + 6y = (3 * 8 + y * 8) + 10 24 + 6y = (24 + 8y) + 10 Reorder the terms: 24 + 6y = 24 + 10 + 8y Combine like terms: 24 + 10 = 34 24 + 6y = 34 + 8y Solving 24 + 6y = 34 + 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. 24 + 6y + -8y = 34 + 8y + -8y Combine like terms: 6y + -8y = -2y 24 + -2y = 34 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + -2y = 34 + 0 24 + -2y = 34 Add '-24' to each side of the equation. 24 + -24 + -2y = 34 + -24 Combine like terms: 24 + -24 = 0 0 + -2y = 34 + -24 -2y = 34 + -24 Combine like terms: 34 + -24 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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