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Simplifying 9y + -41 = 5(y + -5) Reorder the terms: -41 + 9y = 5(y + -5) Reorder the terms: -41 + 9y = 5(-5 + y) -41 + 9y = (-5 * 5 + y * 5) -41 + 9y = (-25 + 5y) Solving -41 + 9y = -25 + 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 + 9y + -5y = -25 + 5y + -5y Combine like terms: 9y + -5y = 4y -41 + 4y = -25 + 5y + -5y Combine like terms: 5y + -5y = 0 -41 + 4y = -25 + 0 -41 + 4y = -25 Add '41' to each side of the equation. -41 + 41 + 4y = -25 + 41 Combine like terms: -41 + 41 = 0 0 + 4y = -25 + 41 4y = -25 + 41 Combine like terms: -25 + 41 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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