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Simplifying 5y + -2(y + 5) = -1(2y + 15) Reorder the terms: 5y + -2(5 + y) = -1(2y + 15) 5y + (5 * -2 + y * -2) = -1(2y + 15) 5y + (-10 + -2y) = -1(2y + 15) Reorder the terms: -10 + 5y + -2y = -1(2y + 15) Combine like terms: 5y + -2y = 3y -10 + 3y = -1(2y + 15) Reorder the terms: -10 + 3y = -1(15 + 2y) -10 + 3y = (15 * -1 + 2y * -1) -10 + 3y = (-15 + -2y) Solving -10 + 3y = -15 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -10 + 3y + 2y = -15 + -2y + 2y Combine like terms: 3y + 2y = 5y -10 + 5y = -15 + -2y + 2y Combine like terms: -2y + 2y = 0 -10 + 5y = -15 + 0 -10 + 5y = -15 Add '10' to each side of the equation. -10 + 10 + 5y = -15 + 10 Combine like terms: -10 + 10 = 0 0 + 5y = -15 + 10 5y = -15 + 10 Combine like terms: -15 + 10 = -5 5y = -5 Divide each side by '5'. y = -1 Simplifying y = -1
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