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Simplifying 0.02(y + -7) + 0.18y = 0.12y + -0.3 Reorder the terms: 0.02(-7 + y) + 0.18y = 0.12y + -0.3 (-7 * 0.02 + y * 0.02) + 0.18y = 0.12y + -0.3 (-0.14 + 0.02y) + 0.18y = 0.12y + -0.3 Combine like terms: 0.02y + 0.18y = 0.2y -0.14 + 0.2y = 0.12y + -0.3 Reorder the terms: -0.14 + 0.2y = -0.3 + 0.12y Solving -0.14 + 0.2y = -0.3 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.14 + 0.2y + -0.12y = -0.3 + 0.12y + -0.12y Combine like terms: 0.2y + -0.12y = 0.08y -0.14 + 0.08y = -0.3 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.14 + 0.08y = -0.3 + 0.00 -0.14 + 0.08y = -0.3 Add '0.14' to each side of the equation. -0.14 + 0.14 + 0.08y = -0.3 + 0.14 Combine like terms: -0.14 + 0.14 = 0.00 0.00 + 0.08y = -0.3 + 0.14 0.08y = -0.3 + 0.14 Combine like terms: -0.3 + 0.14 = -0.16 0.08y = -0.16 Divide each side by '0.08'. y = -2 Simplifying y = -2
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