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Simplifying 0.04(y + -1) + 0.16y = 0.08y + -0.07(10) Reorder the terms: 0.04(-1 + y) + 0.16y = 0.08y + -0.07(10) (-1 * 0.04 + y * 0.04) + 0.16y = 0.08y + -0.07(10) (-0.04 + 0.04y) + 0.16y = 0.08y + -0.07(10) Combine like terms: 0.04y + 0.16y = 0.2y -0.04 + 0.2y = 0.08y + -0.07(10) Multiply -0.07 * 10 -0.04 + 0.2y = 0.08y + -0.7 Reorder the terms: -0.04 + 0.2y = -0.7 + 0.08y Solving -0.04 + 0.2y = -0.7 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.04 + 0.2y + -0.08y = -0.7 + 0.08y + -0.08y Combine like terms: 0.2y + -0.08y = 0.12y -0.04 + 0.12y = -0.7 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.04 + 0.12y = -0.7 + 0.00 -0.04 + 0.12y = -0.7 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.12y = -0.7 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.12y = -0.7 + 0.04 0.12y = -0.7 + 0.04 Combine like terms: -0.7 + 0.04 = -0.66 0.12y = -0.66 Divide each side by '0.12'. y = -5.5 Simplifying y = -5.5
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