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Simplifying 5(2y + 1) + -2 = 3y + 10 Reorder the terms: 5(1 + 2y) + -2 = 3y + 10 (1 * 5 + 2y * 5) + -2 = 3y + 10 (5 + 10y) + -2 = 3y + 10 Reorder the terms: 5 + -2 + 10y = 3y + 10 Combine like terms: 5 + -2 = 3 3 + 10y = 3y + 10 Reorder the terms: 3 + 10y = 10 + 3y Solving 3 + 10y = 10 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 3 + 10y + -3y = 10 + 3y + -3y Combine like terms: 10y + -3y = 7y 3 + 7y = 10 + 3y + -3y Combine like terms: 3y + -3y = 0 3 + 7y = 10 + 0 3 + 7y = 10 Add '-3' to each side of the equation. 3 + -3 + 7y = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 7y = 10 + -3 7y = 10 + -3 Combine like terms: 10 + -3 = 7 7y = 7 Divide each side by '7'. y = 1 Simplifying y = 1
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