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Simplifying 12 + -16 = 5y + 8 + -4y Combine like terms: 12 + -16 = -4 -4 = 5y + 8 + -4y Reorder the terms: -4 = 8 + 5y + -4y Combine like terms: 5y + -4y = 1y -4 = 8 + 1y Solving -4 = 8 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -4 + -1y = 8 + 1y + -1y Combine like terms: 1y + -1y = 0 -4 + -1y = 8 + 0 -4 + -1y = 8 Add '4' to each side of the equation. -4 + 4 + -1y = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 8 + 4 -1y = 8 + 4 Combine like terms: 8 + 4 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12
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