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Simplifying 0.14(y + -1) + 0.12y = 0.06y + -0.07(10) Reorder the terms: 0.14(-1 + y) + 0.12y = 0.06y + -0.07(10) (-1 * 0.14 + y * 0.14) + 0.12y = 0.06y + -0.07(10) (-0.14 + 0.14y) + 0.12y = 0.06y + -0.07(10) Combine like terms: 0.14y + 0.12y = 0.26y -0.14 + 0.26y = 0.06y + -0.07(10) Multiply -0.07 * 10 -0.14 + 0.26y = 0.06y + -0.7 Reorder the terms: -0.14 + 0.26y = -0.7 + 0.06y Solving -0.14 + 0.26y = -0.7 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.14 + 0.26y + -0.06y = -0.7 + 0.06y + -0.06y Combine like terms: 0.26y + -0.06y = 0.2y -0.14 + 0.2y = -0.7 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.14 + 0.2y = -0.7 + 0.00 -0.14 + 0.2y = -0.7 Add '0.14' to each side of the equation. -0.14 + 0.14 + 0.2y = -0.7 + 0.14 Combine like terms: -0.14 + 0.14 = 0.00 0.00 + 0.2y = -0.7 + 0.14 0.2y = -0.7 + 0.14 Combine like terms: -0.7 + 0.14 = -0.56 0.2y = -0.56 Divide each side by '0.2'. y = -2.8 Simplifying y = -2.8
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