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Simplifying 0.12(y + -5) + 0.02y = 0.10y + -0.03(30) Reorder the terms: 0.12(-5 + y) + 0.02y = 0.10y + -0.03(30) (-5 * 0.12 + y * 0.12) + 0.02y = 0.10y + -0.03(30) (-0.6 + 0.12y) + 0.02y = 0.10y + -0.03(30) Combine like terms: 0.12y + 0.02y = 0.14y -0.6 + 0.14y = 0.10y + -0.03(30) Multiply -0.03 * 30 -0.6 + 0.14y = 0.10y + -0.9 Reorder the terms: -0.6 + 0.14y = -0.9 + 0.10y Solving -0.6 + 0.14y = -0.9 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.6 + 0.14y + -0.10y = -0.9 + 0.10y + -0.10y Combine like terms: 0.14y + -0.10y = 0.04y -0.6 + 0.04y = -0.9 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.6 + 0.04y = -0.9 + 0.00 -0.6 + 0.04y = -0.9 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.04y = -0.9 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.04y = -0.9 + 0.6 0.04y = -0.9 + 0.6 Combine like terms: -0.9 + 0.6 = -0.3 0.04y = -0.3 Divide each side by '0.04'. y = -7.5 Simplifying y = -7.5
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