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Simplifying 9y + 4 + -5y = 4 + -4(y + 6) Reorder the terms: 4 + 9y + -5y = 4 + -4(y + 6) Combine like terms: 9y + -5y = 4y 4 + 4y = 4 + -4(y + 6) Reorder the terms: 4 + 4y = 4 + -4(6 + y) 4 + 4y = 4 + (6 * -4 + y * -4) 4 + 4y = 4 + (-24 + -4y) Combine like terms: 4 + -24 = -20 4 + 4y = -20 + -4y Solving 4 + 4y = -20 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 4 + 4y + 4y = -20 + -4y + 4y Combine like terms: 4y + 4y = 8y 4 + 8y = -20 + -4y + 4y Combine like terms: -4y + 4y = 0 4 + 8y = -20 + 0 4 + 8y = -20 Add '-4' to each side of the equation. 4 + -4 + 8y = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 8y = -20 + -4 8y = -20 + -4 Combine like terms: -20 + -4 = -24 8y = -24 Divide each side by '8'. y = -3 Simplifying y = -3
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