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Simplifying 0.08(y + -2) + 0.14y = 0.12y + -0.07(10) Reorder the terms: 0.08(-2 + y) + 0.14y = 0.12y + -0.07(10) (-2 * 0.08 + y * 0.08) + 0.14y = 0.12y + -0.07(10) (-0.16 + 0.08y) + 0.14y = 0.12y + -0.07(10) Combine like terms: 0.08y + 0.14y = 0.22y -0.16 + 0.22y = 0.12y + -0.07(10) Multiply -0.07 * 10 -0.16 + 0.22y = 0.12y + -0.7 Reorder the terms: -0.16 + 0.22y = -0.7 + 0.12y Solving -0.16 + 0.22y = -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. -0.16 + 0.22y + -0.12y = -0.7 + 0.12y + -0.12y Combine like terms: 0.22y + -0.12y = 0.1y -0.16 + 0.1y = -0.7 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.16 + 0.1y = -0.7 + 0.00 -0.16 + 0.1y = -0.7 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.1y = -0.7 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.1y = -0.7 + 0.16 0.1y = -0.7 + 0.16 Combine like terms: -0.7 + 0.16 = -0.54 0.1y = -0.54 Divide each side by '0.1'. y = -5.4 Simplifying y = -5.4
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