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Simplifying 5y + 10 = 8y + 5 Reorder the terms: 10 + 5y = 8y + 5 Reorder the terms: 10 + 5y = 5 + 8y Solving 10 + 5y = 5 + 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. 10 + 5y + -8y = 5 + 8y + -8y Combine like terms: 5y + -8y = -3y 10 + -3y = 5 + 8y + -8y Combine like terms: 8y + -8y = 0 10 + -3y = 5 + 0 10 + -3y = 5 Add '-10' to each side of the equation. 10 + -10 + -3y = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -3y = 5 + -10 -3y = 5 + -10 Combine like terms: 5 + -10 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667
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