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Simplifying 0.1y + 4 = 0.55y + 22 Reorder the terms: 4 + 0.1y = 0.55y + 22 Reorder the terms: 4 + 0.1y = 22 + 0.55y Solving 4 + 0.1y = 22 + 0.55y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.55y' to each side of the equation. 4 + 0.1y + -0.55y = 22 + 0.55y + -0.55y Combine like terms: 0.1y + -0.55y = -0.45y 4 + -0.45y = 22 + 0.55y + -0.55y Combine like terms: 0.55y + -0.55y = 0.00 4 + -0.45y = 22 + 0.00 4 + -0.45y = 22 Add '-4' to each side of the equation. 4 + -4 + -0.45y = 22 + -4 Combine like terms: 4 + -4 = 0 0 + -0.45y = 22 + -4 -0.45y = 22 + -4 Combine like terms: 22 + -4 = 18 -0.45y = 18 Divide each side by '-0.45'. y = -40 Simplifying y = -40
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