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Simplifying 5(y + 7) = 10y Reorder the terms: 5(7 + y) = 10y (7 * 5 + y * 5) = 10y (35 + 5y) = 10y Solving 35 + 5y = 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 35 + 5y + -10y = 10y + -10y Combine like terms: 5y + -10y = -5y 35 + -5y = 10y + -10y Combine like terms: 10y + -10y = 0 35 + -5y = 0 Add '-35' to each side of the equation. 35 + -35 + -5y = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -5y = 0 + -35 -5y = 0 + -35 Combine like terms: 0 + -35 = -35 -5y = -35 Divide each side by '-5'. y = 7 Simplifying y = 7
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