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Simplifying 4y + 41 = -5(y + 8) Reorder the terms: 41 + 4y = -5(y + 8) Reorder the terms: 41 + 4y = -5(8 + y) 41 + 4y = (8 * -5 + y * -5) 41 + 4y = (-40 + -5y) Solving 41 + 4y = -40 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 41 + 4y + 5y = -40 + -5y + 5y Combine like terms: 4y + 5y = 9y 41 + 9y = -40 + -5y + 5y Combine like terms: -5y + 5y = 0 41 + 9y = -40 + 0 41 + 9y = -40 Add '-41' to each side of the equation. 41 + -41 + 9y = -40 + -41 Combine like terms: 41 + -41 = 0 0 + 9y = -40 + -41 9y = -40 + -41 Combine like terms: -40 + -41 = -81 9y = -81 Divide each side by '9'. y = -9 Simplifying y = -9
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