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Simplifying 9y + -1(2y + 3) = -4(y + -5) + -1 Reorder the terms: 9y + -1(3 + 2y) = -4(y + -5) + -1 9y + (3 * -1 + 2y * -1) = -4(y + -5) + -1 9y + (-3 + -2y) = -4(y + -5) + -1 Reorder the terms: -3 + 9y + -2y = -4(y + -5) + -1 Combine like terms: 9y + -2y = 7y -3 + 7y = -4(y + -5) + -1 Reorder the terms: -3 + 7y = -4(-5 + y) + -1 -3 + 7y = (-5 * -4 + y * -4) + -1 -3 + 7y = (20 + -4y) + -1 Reorder the terms: -3 + 7y = 20 + -1 + -4y Combine like terms: 20 + -1 = 19 -3 + 7y = 19 + -4y Solving -3 + 7y = 19 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -3 + 7y + 4y = 19 + -4y + 4y Combine like terms: 7y + 4y = 11y -3 + 11y = 19 + -4y + 4y Combine like terms: -4y + 4y = 0 -3 + 11y = 19 + 0 -3 + 11y = 19 Add '3' to each side of the equation. -3 + 3 + 11y = 19 + 3 Combine like terms: -3 + 3 = 0 0 + 11y = 19 + 3 11y = 19 + 3 Combine like terms: 19 + 3 = 22 11y = 22 Divide each side by '11'. y = 2 Simplifying y = 2
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