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Simplifying 0.08(y + -4) + 0.12y = 0.4y + -1.4 Reorder the terms: 0.08(-4 + y) + 0.12y = 0.4y + -1.4 (-4 * 0.08 + y * 0.08) + 0.12y = 0.4y + -1.4 (-0.32 + 0.08y) + 0.12y = 0.4y + -1.4 Combine like terms: 0.08y + 0.12y = 0.2y -0.32 + 0.2y = 0.4y + -1.4 Reorder the terms: -0.32 + 0.2y = -1.4 + 0.4y Solving -0.32 + 0.2y = -1.4 + 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. -0.32 + 0.2y + -0.4y = -1.4 + 0.4y + -0.4y Combine like terms: 0.2y + -0.4y = -0.2y -0.32 + -0.2y = -1.4 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 -0.32 + -0.2y = -1.4 + 0.0 -0.32 + -0.2y = -1.4 Add '0.32' to each side of the equation. -0.32 + 0.32 + -0.2y = -1.4 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + -0.2y = -1.4 + 0.32 -0.2y = -1.4 + 0.32 Combine like terms: -1.4 + 0.32 = -1.08 -0.2y = -1.08 Divide each side by '-0.2'. y = 5.4 Simplifying y = 5.4
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