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Simplifying 0.10(y + -7) + 0.08y = 0.14y + -0.3 Reorder the terms: 0.10(-7 + y) + 0.08y = 0.14y + -0.3 (-7 * 0.10 + y * 0.10) + 0.08y = 0.14y + -0.3 (-0.7 + 0.10y) + 0.08y = 0.14y + -0.3 Combine like terms: 0.10y + 0.08y = 0.18y -0.7 + 0.18y = 0.14y + -0.3 Reorder the terms: -0.7 + 0.18y = -0.3 + 0.14y Solving -0.7 + 0.18y = -0.3 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.7 + 0.18y + -0.14y = -0.3 + 0.14y + -0.14y Combine like terms: 0.18y + -0.14y = 0.04y -0.7 + 0.04y = -0.3 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.7 + 0.04y = -0.3 + 0.00 -0.7 + 0.04y = -0.3 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.04y = -0.3 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.04y = -0.3 + 0.7 0.04y = -0.3 + 0.7 Combine like terms: -0.3 + 0.7 = 0.4 0.04y = 0.4 Divide each side by '0.04'. y = 10 Simplifying y = 10
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