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Simplifying 0.14(y + -2) + 0.12y = 0.20y + -0.1 Reorder the terms: 0.14(-2 + y) + 0.12y = 0.20y + -0.1 (-2 * 0.14 + y * 0.14) + 0.12y = 0.20y + -0.1 (-0.28 + 0.14y) + 0.12y = 0.20y + -0.1 Combine like terms: 0.14y + 0.12y = 0.26y -0.28 + 0.26y = 0.20y + -0.1 Reorder the terms: -0.28 + 0.26y = -0.1 + 0.20y Solving -0.28 + 0.26y = -0.1 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.28 + 0.26y + -0.20y = -0.1 + 0.20y + -0.20y Combine like terms: 0.26y + -0.20y = 0.06y -0.28 + 0.06y = -0.1 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.28 + 0.06y = -0.1 + 0.00 -0.28 + 0.06y = -0.1 Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.06y = -0.1 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.06y = -0.1 + 0.28 0.06y = -0.1 + 0.28 Combine like terms: -0.1 + 0.28 = 0.18 0.06y = 0.18 Divide each side by '0.06'. y = 3 Simplifying y = 3
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