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Simplifying 0.16(y + -5) + 0.04y = 0.12y + -0.9 Reorder the terms: 0.16(-5 + y) + 0.04y = 0.12y + -0.9 (-5 * 0.16 + y * 0.16) + 0.04y = 0.12y + -0.9 (-0.8 + 0.16y) + 0.04y = 0.12y + -0.9 Combine like terms: 0.16y + 0.04y = 0.2y -0.8 + 0.2y = 0.12y + -0.9 Reorder the terms: -0.8 + 0.2y = -0.9 + 0.12y Solving -0.8 + 0.2y = -0.9 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.8 + 0.2y + -0.12y = -0.9 + 0.12y + -0.12y Combine like terms: 0.2y + -0.12y = 0.08y -0.8 + 0.08y = -0.9 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.8 + 0.08y = -0.9 + 0.00 -0.8 + 0.08y = -0.9 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.08y = -0.9 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.08y = -0.9 + 0.8 0.08y = -0.9 + 0.8 Combine like terms: -0.9 + 0.8 = -0.1 0.08y = -0.1 Divide each side by '0.08'. y = -1.25 Simplifying y = -1.25
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