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Simplifying 2(4y + -9) + -1(3y + -11) = -52 Reorder the terms: 2(-9 + 4y) + -1(3y + -11) = -52 (-9 * 2 + 4y * 2) + -1(3y + -11) = -52 (-18 + 8y) + -1(3y + -11) = -52 Reorder the terms: -18 + 8y + -1(-11 + 3y) = -52 -18 + 8y + (-11 * -1 + 3y * -1) = -52 -18 + 8y + (11 + -3y) = -52 Reorder the terms: -18 + 11 + 8y + -3y = -52 Combine like terms: -18 + 11 = -7 -7 + 8y + -3y = -52 Combine like terms: 8y + -3y = 5y -7 + 5y = -52 Solving -7 + 5y = -52 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5y = -52 + 7 Combine like terms: -7 + 7 = 0 0 + 5y = -52 + 7 5y = -52 + 7 Combine like terms: -52 + 7 = -45 5y = -45 Divide each side by '5'. y = -9 Simplifying y = -9
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