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Simplifying 0.08(y + -7) + 0.04y = 0.16y + -0.5 Reorder the terms: 0.08(-7 + y) + 0.04y = 0.16y + -0.5 (-7 * 0.08 + y * 0.08) + 0.04y = 0.16y + -0.5 (-0.56 + 0.08y) + 0.04y = 0.16y + -0.5 Combine like terms: 0.08y + 0.04y = 0.12y -0.56 + 0.12y = 0.16y + -0.5 Reorder the terms: -0.56 + 0.12y = -0.5 + 0.16y Solving -0.56 + 0.12y = -0.5 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.56 + 0.12y + -0.16y = -0.5 + 0.16y + -0.16y Combine like terms: 0.12y + -0.16y = -0.04y -0.56 + -0.04y = -0.5 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.56 + -0.04y = -0.5 + 0.00 -0.56 + -0.04y = -0.5 Add '0.56' to each side of the equation. -0.56 + 0.56 + -0.04y = -0.5 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + -0.04y = -0.5 + 0.56 -0.04y = -0.5 + 0.56 Combine like terms: -0.5 + 0.56 = 0.06 -0.04y = 0.06 Divide each side by '-0.04'. y = -1.5 Simplifying y = -1.5
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