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Simplifying 0.14(y + -1) + 0.02y = 0.12y + -0.5 Reorder the terms: 0.14(-1 + y) + 0.02y = 0.12y + -0.5 (-1 * 0.14 + y * 0.14) + 0.02y = 0.12y + -0.5 (-0.14 + 0.14y) + 0.02y = 0.12y + -0.5 Combine like terms: 0.14y + 0.02y = 0.16y -0.14 + 0.16y = 0.12y + -0.5 Reorder the terms: -0.14 + 0.16y = -0.5 + 0.12y Solving -0.14 + 0.16y = -0.5 + 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. -0.14 + 0.16y + -0.12y = -0.5 + 0.12y + -0.12y Combine like terms: 0.16y + -0.12y = 0.04y -0.14 + 0.04y = -0.5 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.14 + 0.04y = -0.5 + 0.00 -0.14 + 0.04y = -0.5 Add '0.14' to each side of the equation. -0.14 + 0.14 + 0.04y = -0.5 + 0.14 Combine like terms: -0.14 + 0.14 = 0.00 0.00 + 0.04y = -0.5 + 0.14 0.04y = -0.5 + 0.14 Combine like terms: -0.5 + 0.14 = -0.36 0.04y = -0.36 Divide each side by '0.04'. y = -9 Simplifying y = -9
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