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Simplifying 7(y + 5) = 10y Reorder the terms: 7(5 + y) = 10y (5 * 7 + y * 7) = 10y (35 + 7y) = 10y Solving 35 + 7y = 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 + 7y + -10y = 10y + -10y Combine like terms: 7y + -10y = -3y 35 + -3y = 10y + -10y Combine like terms: 10y + -10y = 0 35 + -3y = 0 Add '-35' to each side of the equation. 35 + -35 + -3y = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -3y = 0 + -35 -3y = 0 + -35 Combine like terms: 0 + -35 = -35 -3y = -35 Divide each side by '-3'. y = 11.66666667 Simplifying y = 11.66666667
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