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Simplifying 0.12(y + -7) + 0.02y = 0.04y + -0.3 Reorder the terms: 0.12(-7 + y) + 0.02y = 0.04y + -0.3 (-7 * 0.12 + y * 0.12) + 0.02y = 0.04y + -0.3 (-0.84 + 0.12y) + 0.02y = 0.04y + -0.3 Combine like terms: 0.12y + 0.02y = 0.14y -0.84 + 0.14y = 0.04y + -0.3 Reorder the terms: -0.84 + 0.14y = -0.3 + 0.04y Solving -0.84 + 0.14y = -0.3 + 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. -0.84 + 0.14y + -0.04y = -0.3 + 0.04y + -0.04y Combine like terms: 0.14y + -0.04y = 0.1y -0.84 + 0.1y = -0.3 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.84 + 0.1y = -0.3 + 0.00 -0.84 + 0.1y = -0.3 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.1y = -0.3 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.1y = -0.3 + 0.84 0.1y = -0.3 + 0.84 Combine like terms: -0.3 + 0.84 = 0.54 0.1y = 0.54 Divide each side by '0.1'. y = 5.4 Simplifying y = 5.4
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