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Simplifying 5y + -2 + -3(y + 5) = 7 Reorder the terms: 5y + -2 + -3(5 + y) = 7 5y + -2 + (5 * -3 + y * -3) = 7 5y + -2 + (-15 + -3y) = 7 Reorder the terms: -2 + -15 + 5y + -3y = 7 Combine like terms: -2 + -15 = -17 -17 + 5y + -3y = 7 Combine like terms: 5y + -3y = 2y -17 + 2y = 7 Solving -17 + 2y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2y = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 2y = 7 + 17 2y = 7 + 17 Combine like terms: 7 + 17 = 24 2y = 24 Divide each side by '2'. y = 12 Simplifying y = 12
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