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Simplifying y + -12 = 5y + 8 + -3y + 6 Reorder the terms: -12 + y = 5y + 8 + -3y + 6 Reorder the terms: -12 + y = 8 + 6 + 5y + -3y Combine like terms: 8 + 6 = 14 -12 + y = 14 + 5y + -3y Combine like terms: 5y + -3y = 2y -12 + y = 14 + 2y Solving -12 + y = 14 + 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 = 14 + 2y + -2y Combine like terms: y + -2y = -1y -12 + -1y = 14 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + -1y = 14 + 0 -12 + -1y = 14 Add '12' to each side of the equation. -12 + 12 + -1y = 14 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 14 + 12 -1y = 14 + 12 Combine like terms: 14 + 12 = 26 -1y = 26 Divide each side by '-1'. y = -26 Simplifying y = -26
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