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Simplifying 0.02(y + -4) + 0.14y = 0.04y + -0.03(30) Reorder the terms: 0.02(-4 + y) + 0.14y = 0.04y + -0.03(30) (-4 * 0.02 + y * 0.02) + 0.14y = 0.04y + -0.03(30) (-0.08 + 0.02y) + 0.14y = 0.04y + -0.03(30) Combine like terms: 0.02y + 0.14y = 0.16y -0.08 + 0.16y = 0.04y + -0.03(30) Multiply -0.03 * 30 -0.08 + 0.16y = 0.04y + -0.9 Reorder the terms: -0.08 + 0.16y = -0.9 + 0.04y Solving -0.08 + 0.16y = -0.9 + 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. -0.08 + 0.16y + -0.04y = -0.9 + 0.04y + -0.04y Combine like terms: 0.16y + -0.04y = 0.12y -0.08 + 0.12y = -0.9 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.08 + 0.12y = -0.9 + 0.00 -0.08 + 0.12y = -0.9 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.12y = -0.9 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.12y = -0.9 + 0.08 0.12y = -0.9 + 0.08 Combine like terms: -0.9 + 0.08 = -0.82 0.12y = -0.82 Divide each side by '0.12'. y = -6.833333333 Simplifying y = -6.833333333
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