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Simplifying 5(5y + -2) + -6(3y + 6) = 3 Reorder the terms: 5(-2 + 5y) + -6(3y + 6) = 3 (-2 * 5 + 5y * 5) + -6(3y + 6) = 3 (-10 + 25y) + -6(3y + 6) = 3 Reorder the terms: -10 + 25y + -6(6 + 3y) = 3 -10 + 25y + (6 * -6 + 3y * -6) = 3 -10 + 25y + (-36 + -18y) = 3 Reorder the terms: -10 + -36 + 25y + -18y = 3 Combine like terms: -10 + -36 = -46 -46 + 25y + -18y = 3 Combine like terms: 25y + -18y = 7y -46 + 7y = 3 Solving -46 + 7y = 3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 7y = 3 + 46 Combine like terms: -46 + 46 = 0 0 + 7y = 3 + 46 7y = 3 + 46 Combine like terms: 3 + 46 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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