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Simplifying 4(2y + -5) + -1(3y + 7) = -12 Reorder the terms: 4(-5 + 2y) + -1(3y + 7) = -12 (-5 * 4 + 2y * 4) + -1(3y + 7) = -12 (-20 + 8y) + -1(3y + 7) = -12 Reorder the terms: -20 + 8y + -1(7 + 3y) = -12 -20 + 8y + (7 * -1 + 3y * -1) = -12 -20 + 8y + (-7 + -3y) = -12 Reorder the terms: -20 + -7 + 8y + -3y = -12 Combine like terms: -20 + -7 = -27 -27 + 8y + -3y = -12 Combine like terms: 8y + -3y = 5y -27 + 5y = -12 Solving -27 + 5y = -12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 5y = -12 + 27 Combine like terms: -27 + 27 = 0 0 + 5y = -12 + 27 5y = -12 + 27 Combine like terms: -12 + 27 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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