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Simplifying 10y + -7 = 5y + 32 Reorder the terms: -7 + 10y = 5y + 32 Reorder the terms: -7 + 10y = 32 + 5y Solving -7 + 10y = 32 + 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. -7 + 10y + -5y = 32 + 5y + -5y Combine like terms: 10y + -5y = 5y -7 + 5y = 32 + 5y + -5y Combine like terms: 5y + -5y = 0 -7 + 5y = 32 + 0 -7 + 5y = 32 Add '7' to each side of the equation. -7 + 7 + 5y = 32 + 7 Combine like terms: -7 + 7 = 0 0 + 5y = 32 + 7 5y = 32 + 7 Combine like terms: 32 + 7 = 39 5y = 39 Divide each side by '5'. y = 7.8 Simplifying y = 7.8
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