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Simplifying 4y = 38 + -0.5(4y + 16) Reorder the terms: 4y = 38 + -0.5(16 + 4y) 4y = 38 + (16 * -0.5 + 4y * -0.5) 4y = 38 + (-8 + -2y) Combine like terms: 38 + -8 = 30 4y = 30 + -2y Solving 4y = 30 + -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. 4y + 2y = 30 + -2y + 2y Combine like terms: 4y + 2y = 6y 6y = 30 + -2y + 2y Combine like terms: -2y + 2y = 0 6y = 30 + 0 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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