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Simplifying 2z + 4(y + 5) = z + 8 Reorder the terms: 2z + 4(5 + y) = z + 8 2z + (5 * 4 + y * 4) = z + 8 2z + (20 + 4y) = z + 8 Reorder the terms: 20 + 4y + 2z = z + 8 Reorder the terms: 20 + 4y + 2z = 8 + z Solving 20 + 4y + 2z = 8 + z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 4y + -20 + 2z = 8 + -20 + z Reorder the terms: 20 + -20 + 4y + 2z = 8 + -20 + z Combine like terms: 20 + -20 = 0 0 + 4y + 2z = 8 + -20 + z 4y + 2z = 8 + -20 + z Combine like terms: 8 + -20 = -12 4y + 2z = -12 + z Add '-2z' to each side of the equation. 4y + 2z + -2z = -12 + z + -2z Combine like terms: 2z + -2z = 0 4y + 0 = -12 + z + -2z 4y = -12 + z + -2z Combine like terms: z + -2z = -1z 4y = -12 + -1z Divide each side by '4'. y = -3 + -0.25z Simplifying y = -3 + -0.25z
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