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Simplifying -46 + -21y + 14 = -37y + 80 + 9y Reorder the terms: -46 + 14 + -21y = -37y + 80 + 9y Combine like terms: -46 + 14 = -32 -32 + -21y = -37y + 80 + 9y Reorder the terms: -32 + -21y = 80 + -37y + 9y Combine like terms: -37y + 9y = -28y -32 + -21y = 80 + -28y Solving -32 + -21y = 80 + -28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28y' to each side of the equation. -32 + -21y + 28y = 80 + -28y + 28y Combine like terms: -21y + 28y = 7y -32 + 7y = 80 + -28y + 28y Combine like terms: -28y + 28y = 0 -32 + 7y = 80 + 0 -32 + 7y = 80 Add '32' to each side of the equation. -32 + 32 + 7y = 80 + 32 Combine like terms: -32 + 32 = 0 0 + 7y = 80 + 32 7y = 80 + 32 Combine like terms: 80 + 32 = 112 7y = 112 Divide each side by '7'. y = 16 Simplifying y = 16
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