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Simplifying 4y * 0.8 + -0.1 = 3y + 0.8 Reorder the terms for easier multiplication: 4 * 0.8y + -0.1 = 3y + 0.8 Multiply 4 * 0.8 3.2y + -0.1 = 3y + 0.8 Reorder the terms: -0.1 + 3.2y = 3y + 0.8 Reorder the terms: -0.1 + 3.2y = 0.8 + 3y Solving -0.1 + 3.2y = 0.8 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -0.1 + 3.2y + -3y = 0.8 + 3y + -3y Combine like terms: 3.2y + -3y = 0.2y -0.1 + 0.2y = 0.8 + 3y + -3y Combine like terms: 3y + -3y = 0 -0.1 + 0.2y = 0.8 + 0 -0.1 + 0.2y = 0.8 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.2y = 0.8 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.2y = 0.8 + 0.1 0.2y = 0.8 + 0.1 Combine like terms: 0.8 + 0.1 = 0.9 0.2y = 0.9 Divide each side by '0.2'. y = 4.5 Simplifying y = 4.5
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