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Simplifying 4(5y + 1) + 6y = 8y + 10 Reorder the terms: 4(1 + 5y) + 6y = 8y + 10 (1 * 4 + 5y * 4) + 6y = 8y + 10 (4 + 20y) + 6y = 8y + 10 Combine like terms: 20y + 6y = 26y 4 + 26y = 8y + 10 Reorder the terms: 4 + 26y = 10 + 8y Solving 4 + 26y = 10 + 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. 4 + 26y + -8y = 10 + 8y + -8y Combine like terms: 26y + -8y = 18y 4 + 18y = 10 + 8y + -8y Combine like terms: 8y + -8y = 0 4 + 18y = 10 + 0 4 + 18y = 10 Add '-4' to each side of the equation. 4 + -4 + 18y = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 18y = 10 + -4 18y = 10 + -4 Combine like terms: 10 + -4 = 6 18y = 6 Divide each side by '18'. y = 0.3333333333 Simplifying y = 0.3333333333
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