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Simplifying 0.16(y + -8) + 0.04y = 0.12y + -0.07(10) Reorder the terms: 0.16(-8 + y) + 0.04y = 0.12y + -0.07(10) (-8 * 0.16 + y * 0.16) + 0.04y = 0.12y + -0.07(10) (-1.28 + 0.16y) + 0.04y = 0.12y + -0.07(10) Combine like terms: 0.16y + 0.04y = 0.2y -1.28 + 0.2y = 0.12y + -0.07(10) Multiply -0.07 * 10 -1.28 + 0.2y = 0.12y + -0.7 Reorder the terms: -1.28 + 0.2y = -0.7 + 0.12y Solving -1.28 + 0.2y = -0.7 + 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. -1.28 + 0.2y + -0.12y = -0.7 + 0.12y + -0.12y Combine like terms: 0.2y + -0.12y = 0.08y -1.28 + 0.08y = -0.7 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -1.28 + 0.08y = -0.7 + 0.00 -1.28 + 0.08y = -0.7 Add '1.28' to each side of the equation. -1.28 + 1.28 + 0.08y = -0.7 + 1.28 Combine like terms: -1.28 + 1.28 = 0.00 0.00 + 0.08y = -0.7 + 1.28 0.08y = -0.7 + 1.28 Combine like terms: -0.7 + 1.28 = 0.58 0.08y = 0.58 Divide each side by '0.08'. y = 7.25 Simplifying y = 7.25
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