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Simplifying 0.22y + -0.5 = 0.12y + 3 + -0.6y Reorder the terms: -0.5 + 0.22y = 0.12y + 3 + -0.6y Reorder the terms: -0.5 + 0.22y = 3 + 0.12y + -0.6y Combine like terms: 0.12y + -0.6y = -0.48y -0.5 + 0.22y = 3 + -0.48y Solving -0.5 + 0.22y = 3 + -0.48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.48y' to each side of the equation. -0.5 + 0.22y + 0.48y = 3 + -0.48y + 0.48y Combine like terms: 0.22y + 0.48y = 0.7y -0.5 + 0.7y = 3 + -0.48y + 0.48y Combine like terms: -0.48y + 0.48y = 0.00 -0.5 + 0.7y = 3 + 0.00 -0.5 + 0.7y = 3 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.7y = 3 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.7y = 3 + 0.5 0.7y = 3 + 0.5 Combine like terms: 3 + 0.5 = 3.5 0.7y = 3.5 Divide each side by '0.7'. y = 5 Simplifying y = 5
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