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Simplifying 7y + 3y + -24 = 5y + 10 + -2 Reorder the terms: -24 + 7y + 3y = 5y + 10 + -2 Combine like terms: 7y + 3y = 10y -24 + 10y = 5y + 10 + -2 Reorder the terms: -24 + 10y = 10 + -2 + 5y Combine like terms: 10 + -2 = 8 -24 + 10y = 8 + 5y Solving -24 + 10y = 8 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -24 + 10y + -5y = 8 + 5y + -5y Combine like terms: 10y + -5y = 5y -24 + 5y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 -24 + 5y = 8 + 0 -24 + 5y = 8 Add '24' to each side of the equation. -24 + 24 + 5y = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 5y = 8 + 24 5y = 8 + 24 Combine like terms: 8 + 24 = 32 5y = 32 Divide each side by '5'. y = 6.4 Simplifying y = 6.4
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