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Simplifying 3w + 5 = 3w + -1y Reorder the terms: 5 + 3w = 3w + -1y Add '-3w' to each side of the equation. 5 + 3w + -3w = 3w + -3w + -1y Combine like terms: 3w + -3w = 0 5 + 0 = 3w + -3w + -1y 5 = 3w + -3w + -1y Combine like terms: 3w + -3w = 0 5 = 0 + -1y 5 = -1y Solving 5 = -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 5 + y = -1y + y Combine like terms: -1y + y = 0 5 + y = 0 Add '-5' to each side of the equation. 5 + -5 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5
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