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Simplifying 0.02(y + -2) + 0.20y = 0.10y + -0.01(70) Reorder the terms: 0.02(-2 + y) + 0.20y = 0.10y + -0.01(70) (-2 * 0.02 + y * 0.02) + 0.20y = 0.10y + -0.01(70) (-0.04 + 0.02y) + 0.20y = 0.10y + -0.01(70) Combine like terms: 0.02y + 0.20y = 0.22y -0.04 + 0.22y = 0.10y + -0.01(70) Multiply -0.01 * 70 -0.04 + 0.22y = 0.10y + -0.7 Reorder the terms: -0.04 + 0.22y = -0.7 + 0.10y Solving -0.04 + 0.22y = -0.7 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.04 + 0.22y + -0.10y = -0.7 + 0.10y + -0.10y Combine like terms: 0.22y + -0.10y = 0.12y -0.04 + 0.12y = -0.7 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.04 + 0.12y = -0.7 + 0.00 -0.04 + 0.12y = -0.7 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.12y = -0.7 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.12y = -0.7 + 0.04 0.12y = -0.7 + 0.04 Combine like terms: -0.7 + 0.04 = -0.66 0.12y = -0.66 Divide each side by '0.12'. y = -5.5 Simplifying y = -5.5
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