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Simplifying -9y + 5(y + -4) = -7y + -9(y + 5) + -11 Reorder the terms: -9y + 5(-4 + y) = -7y + -9(y + 5) + -11 -9y + (-4 * 5 + y * 5) = -7y + -9(y + 5) + -11 -9y + (-20 + 5y) = -7y + -9(y + 5) + -11 Reorder the terms: -20 + -9y + 5y = -7y + -9(y + 5) + -11 Combine like terms: -9y + 5y = -4y -20 + -4y = -7y + -9(y + 5) + -11 Reorder the terms: -20 + -4y = -7y + -9(5 + y) + -11 -20 + -4y = -7y + (5 * -9 + y * -9) + -11 -20 + -4y = -7y + (-45 + -9y) + -11 Reorder the terms: -20 + -4y = -45 + -11 + -7y + -9y Combine like terms: -45 + -11 = -56 -20 + -4y = -56 + -7y + -9y Combine like terms: -7y + -9y = -16y -20 + -4y = -56 + -16y Solving -20 + -4y = -56 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. -20 + -4y + 16y = -56 + -16y + 16y Combine like terms: -4y + 16y = 12y -20 + 12y = -56 + -16y + 16y Combine like terms: -16y + 16y = 0 -20 + 12y = -56 + 0 -20 + 12y = -56 Add '20' to each side of the equation. -20 + 20 + 12y = -56 + 20 Combine like terms: -20 + 20 = 0 0 + 12y = -56 + 20 12y = -56 + 20 Combine like terms: -56 + 20 = -36 12y = -36 Divide each side by '12'. y = -3 Simplifying y = -3
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