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Simplifying 7y + -1(9 + -4y) = 3(y + -11) 7y + (9 * -1 + -4y * -1) = 3(y + -11) 7y + (-9 + 4y) = 3(y + -11) Reorder the terms: -9 + 7y + 4y = 3(y + -11) Combine like terms: 7y + 4y = 11y -9 + 11y = 3(y + -11) Reorder the terms: -9 + 11y = 3(-11 + y) -9 + 11y = (-11 * 3 + y * 3) -9 + 11y = (-33 + 3y) Solving -9 + 11y = -33 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -9 + 11y + -3y = -33 + 3y + -3y Combine like terms: 11y + -3y = 8y -9 + 8y = -33 + 3y + -3y Combine like terms: 3y + -3y = 0 -9 + 8y = -33 + 0 -9 + 8y = -33 Add '9' to each side of the equation. -9 + 9 + 8y = -33 + 9 Combine like terms: -9 + 9 = 0 0 + 8y = -33 + 9 8y = -33 + 9 Combine like terms: -33 + 9 = -24 8y = -24 Divide each side by '8'. y = -3 Simplifying y = -3
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