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Simplifying 3y + 45 = 8y + 5 Reorder the terms: 45 + 3y = 8y + 5 Reorder the terms: 45 + 3y = 5 + 8y Solving 45 + 3y = 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. 45 + 3y + -8y = 5 + 8y + -8y Combine like terms: 3y + -8y = -5y 45 + -5y = 5 + 8y + -8y Combine like terms: 8y + -8y = 0 45 + -5y = 5 + 0 45 + -5y = 5 Add '-45' to each side of the equation. 45 + -45 + -5y = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -5y = 5 + -45 -5y = 5 + -45 Combine like terms: 5 + -45 = -40 -5y = -40 Divide each side by '-5'. y = 8 Simplifying y = 8
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