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Simplifying 0.02(y + -4) + 0.14y = 0.12y + -0.1 Reorder the terms: 0.02(-4 + y) + 0.14y = 0.12y + -0.1 (-4 * 0.02 + y * 0.02) + 0.14y = 0.12y + -0.1 (-0.08 + 0.02y) + 0.14y = 0.12y + -0.1 Combine like terms: 0.02y + 0.14y = 0.16y -0.08 + 0.16y = 0.12y + -0.1 Reorder the terms: -0.08 + 0.16y = -0.1 + 0.12y Solving -0.08 + 0.16y = -0.1 + 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. -0.08 + 0.16y + -0.12y = -0.1 + 0.12y + -0.12y Combine like terms: 0.16y + -0.12y = 0.04y -0.08 + 0.04y = -0.1 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.08 + 0.04y = -0.1 + 0.00 -0.08 + 0.04y = -0.1 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.04y = -0.1 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.04y = -0.1 + 0.08 0.04y = -0.1 + 0.08 Combine like terms: -0.1 + 0.08 = -0.02 0.04y = -0.02 Divide each side by '0.04'. y = -0.5 Simplifying y = -0.5
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