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Simplifying 0.14(y + -6) + 0.02y = 0.04y + -0.6 Reorder the terms: 0.14(-6 + y) + 0.02y = 0.04y + -0.6 (-6 * 0.14 + y * 0.14) + 0.02y = 0.04y + -0.6 (-0.84 + 0.14y) + 0.02y = 0.04y + -0.6 Combine like terms: 0.14y + 0.02y = 0.16y -0.84 + 0.16y = 0.04y + -0.6 Reorder the terms: -0.84 + 0.16y = -0.6 + 0.04y Solving -0.84 + 0.16y = -0.6 + 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 + 0.16y + -0.04y = -0.6 + 0.04y + -0.04y Combine like terms: 0.16y + -0.04y = 0.12y -0.84 + 0.12y = -0.6 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.84 + 0.12y = -0.6 + 0.00 -0.84 + 0.12y = -0.6 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.12y = -0.6 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.12y = -0.6 + 0.84 0.12y = -0.6 + 0.84 Combine like terms: -0.6 + 0.84 = 0.24 0.12y = 0.24 Divide each side by '0.12'. y = 2 Simplifying y = 2
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