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Simplifying -5(y + 1) + 4(y + -5) = 11 Reorder the terms: -5(1 + y) + 4(y + -5) = 11 (1 * -5 + y * -5) + 4(y + -5) = 11 (-5 + -5y) + 4(y + -5) = 11 Reorder the terms: -5 + -5y + 4(-5 + y) = 11 -5 + -5y + (-5 * 4 + y * 4) = 11 -5 + -5y + (-20 + 4y) = 11 Reorder the terms: -5 + -20 + -5y + 4y = 11 Combine like terms: -5 + -20 = -25 -25 + -5y + 4y = 11 Combine like terms: -5y + 4y = -1y -25 + -1y = 11 Solving -25 + -1y = 11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1y = 11 + 25 Combine like terms: -25 + 25 = 0 0 + -1y = 11 + 25 -1y = 11 + 25 Combine like terms: 11 + 25 = 36 -1y = 36 Divide each side by '-1'. y = -36 Simplifying y = -36
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