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Simplifying 0.12(y + -5) + 0.02 = 0.18 + -0.4 Reorder the terms: 0.12(-5 + y) + 0.02 = 0.18 + -0.4 (-5 * 0.12 + y * 0.12) + 0.02 = 0.18 + -0.4 (-0.6 + 0.12y) + 0.02 = 0.18 + -0.4 Reorder the terms: -0.6 + 0.02 + 0.12y = 0.18 + -0.4 Combine like terms: -0.6 + 0.02 = -0.58 -0.58 + 0.12y = 0.18 + -0.4 Combine like terms: 0.18 + -0.4 = -0.22 -0.58 + 0.12y = -0.22 Solving -0.58 + 0.12y = -0.22 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.58' to each side of the equation. -0.58 + 0.58 + 0.12y = -0.22 + 0.58 Combine like terms: -0.58 + 0.58 = 0.00 0.00 + 0.12y = -0.22 + 0.58 0.12y = -0.22 + 0.58 Combine like terms: -0.22 + 0.58 = 0.36 0.12y = 0.36 Divide each side by '0.12'. y = 3 Simplifying y = 3
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