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Simplifying -5x + y + -12 = 2y + -5x Reorder the terms: -12 + -5x + y = 2y + -5x Reorder the terms: -12 + -5x + y = -5x + 2y Add '5x' to each side of the equation. -12 + -5x + 5x + y = -5x + 5x + 2y Combine like terms: -5x + 5x = 0 -12 + 0 + y = -5x + 5x + 2y -12 + y = -5x + 5x + 2y Combine like terms: -5x + 5x = 0 -12 + y = 0 + 2y -12 + y = 2y Solving -12 + y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -12 + y + -2y = 2y + -2y Combine like terms: y + -2y = -1y -12 + -1y = 2y + -2y Combine like terms: 2y + -2y = 0 -12 + -1y = 0 Add '12' to each side of the equation. -12 + 12 + -1y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 0 + 12 -1y = 0 + 12 Combine like terms: 0 + 12 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12
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