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Simplifying 0.02(y + -2) + 0.14y = 0.04y + -1 Reorder the terms: 0.02(-2 + y) + 0.14y = 0.04y + -1 (-2 * 0.02 + y * 0.02) + 0.14y = 0.04y + -1 (-0.04 + 0.02y) + 0.14y = 0.04y + -1 Combine like terms: 0.02y + 0.14y = 0.16y -0.04 + 0.16y = 0.04y + -1 Reorder the terms: -0.04 + 0.16y = -1 + 0.04y Solving -0.04 + 0.16y = -1 + 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. -0.04 + 0.16y + -0.04y = -1 + 0.04y + -0.04y Combine like terms: 0.16y + -0.04y = 0.12y -0.04 + 0.12y = -1 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.04 + 0.12y = -1 + 0.00 -0.04 + 0.12y = -1 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.12y = -1 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.12y = -1 + 0.04 0.12y = -1 + 0.04 Combine like terms: -1 + 0.04 = -0.96 0.12y = -0.96 Divide each side by '0.12'. y = -8 Simplifying y = -8
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