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Simplifying 0.12(y + -3) + 0.18y = 0.04y + -1.4 Reorder the terms: 0.12(-3 + y) + 0.18y = 0.04y + -1.4 (-3 * 0.12 + y * 0.12) + 0.18y = 0.04y + -1.4 (-0.36 + 0.12y) + 0.18y = 0.04y + -1.4 Combine like terms: 0.12y + 0.18y = 0.3y -0.36 + 0.3y = 0.04y + -1.4 Reorder the terms: -0.36 + 0.3y = -1.4 + 0.04y Solving -0.36 + 0.3y = -1.4 + 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. -0.36 + 0.3y + -0.04y = -1.4 + 0.04y + -0.04y Combine like terms: 0.3y + -0.04y = 0.26y -0.36 + 0.26y = -1.4 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.36 + 0.26y = -1.4 + 0.00 -0.36 + 0.26y = -1.4 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.26y = -1.4 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.26y = -1.4 + 0.36 0.26y = -1.4 + 0.36 Combine like terms: -1.4 + 0.36 = -1.04 0.26y = -1.04 Divide each side by '0.26'. y = -4 Simplifying y = -4
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