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Simplifying 5(2y + 3) = (3y) + 1 Reorder the terms: 5(3 + 2y) = (3y) + 1 (3 * 5 + 2y * 5) = (3y) + 1 (15 + 10y) = (3y) + 1 Reorder the terms: 15 + 10y = 1 + (3y) Solving 15 + 10y = 1 + (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. 15 + 10y + (-3y) = 1 + (3y) + (-3y) Combine like terms: 10y + (-3y) = 7y 15 + 7y = 1 + (3y) + (-3y) Combine like terms: (3y) + (-3y) = 0 15 + 7y = 1 + 0 15 + 7y = 1 Add '-15' to each side of the equation. 15 + -15 + 7y = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 7y = 1 + -15 7y = 1 + -15 Combine like terms: 1 + -15 = -14 7y = -14 Divide each side by '7'. y = -2 Simplifying y = -2
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