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Simplifying 0.14(y + -8) + 0.10y = 0.04y + -2.5 Reorder the terms: 0.14(-8 + y) + 0.10y = 0.04y + -2.5 (-8 * 0.14 + y * 0.14) + 0.10y = 0.04y + -2.5 (-1.12 + 0.14y) + 0.10y = 0.04y + -2.5 Combine like terms: 0.14y + 0.10y = 0.24y -1.12 + 0.24y = 0.04y + -2.5 Reorder the terms: -1.12 + 0.24y = -2.5 + 0.04y Solving -1.12 + 0.24y = -2.5 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -1.12 + 0.24y + -0.04y = -2.5 + 0.04y + -0.04y Combine like terms: 0.24y + -0.04y = 0.2y -1.12 + 0.2y = -2.5 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -1.12 + 0.2y = -2.5 + 0.00 -1.12 + 0.2y = -2.5 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.2y = -2.5 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.2y = -2.5 + 1.12 0.2y = -2.5 + 1.12 Combine like terms: -2.5 + 1.12 = -1.38 0.2y = -1.38 Divide each side by '0.2'. y = -6.9 Simplifying y = -6.9
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