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Simplifying 0.06(y + -3) + 0.20y = 0.02 + -0.03(50) Reorder the terms: 0.06(-3 + y) + 0.20y = 0.02 + -0.03(50) (-3 * 0.06 + y * 0.06) + 0.20y = 0.02 + -0.03(50) (-0.18 + 0.06y) + 0.20y = 0.02 + -0.03(50) Combine like terms: 0.06y + 0.20y = 0.26y -0.18 + 0.26y = 0.02 + -0.03(50) Multiply -0.03 * 50 -0.18 + 0.26y = 0.02 + -1.5 Combine like terms: 0.02 + -1.5 = -1.48 -0.18 + 0.26y = -1.48 Solving -0.18 + 0.26y = -1.48 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.26y = -1.48 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.26y = -1.48 + 0.18 0.26y = -1.48 + 0.18 Combine like terms: -1.48 + 0.18 = -1.3 0.26y = -1.3 Divide each side by '0.26'. y = -5 Simplifying y = -5
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