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Simplifying 0.8y + 6 = 0.4y + -7 Reorder the terms: 6 + 0.8y = 0.4y + -7 Reorder the terms: 6 + 0.8y = -7 + 0.4y Solving 6 + 0.8y = -7 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. 6 + 0.8y + -0.4y = -7 + 0.4y + -0.4y Combine like terms: 0.8y + -0.4y = 0.4y 6 + 0.4y = -7 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 6 + 0.4y = -7 + 0.0 6 + 0.4y = -7 Add '-6' to each side of the equation. 6 + -6 + 0.4y = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 0.4y = -7 + -6 0.4y = -7 + -6 Combine like terms: -7 + -6 = -13 0.4y = -13 Divide each side by '0.4'. y = -32.5 Simplifying y = -32.5
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