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Simplifying 109 + -77 = 38y + -46y Combine like terms: 109 + -77 = 32 32 = 38y + -46y Combine like terms: 38y + -46y = -8y 32 = -8y Solving 32 = -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 32 + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 32 + 8y = 0 Add '-32' to each side of the equation. 32 + -32 + 8y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8y = 0 + -32 8y = 0 + -32 Combine like terms: 0 + -32 = -32 8y = -32 Divide each side by '8'. y = -4 Simplifying y = -4
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