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Simplifying [5y + -3] = [41 + -6y] Reorder the terms: [-3 + 5y] = [41 + -6y] Remove brackets around [-3 + 5y] -3 + 5y = [41 + -6y] Remove brackets around [41 + -6y] -3 + 5y = 41 + -6y Solving -3 + 5y = 41 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -3 + 5y + 6y = 41 + -6y + 6y Combine like terms: 5y + 6y = 11y -3 + 11y = 41 + -6y + 6y Combine like terms: -6y + 6y = 0 -3 + 11y = 41 + 0 -3 + 11y = 41 Add '3' to each side of the equation. -3 + 3 + 11y = 41 + 3 Combine like terms: -3 + 3 = 0 0 + 11y = 41 + 3 11y = 41 + 3 Combine like terms: 41 + 3 = 44 11y = 44 Divide each side by '11'. y = 4 Simplifying y = 4
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