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Simplifying 0.12(y + -5) + 0.14y = 0.10 + -0.05(40) Reorder the terms: 0.12(-5 + y) + 0.14y = 0.10 + -0.05(40) (-5 * 0.12 + y * 0.12) + 0.14y = 0.10 + -0.05(40) (-0.6 + 0.12y) + 0.14y = 0.10 + -0.05(40) Combine like terms: 0.12y + 0.14y = 0.26y -0.6 + 0.26y = 0.10 + -0.05(40) Multiply -0.05 * 40 -0.6 + 0.26y = 0.10 + -2 Combine like terms: 0.10 + -2 = -1.9 -0.6 + 0.26y = -1.9 Solving -0.6 + 0.26y = -1.9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.26y = -1.9 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.26y = -1.9 + 0.6 0.26y = -1.9 + 0.6 Combine like terms: -1.9 + 0.6 = -1.3 0.26y = -1.3 Divide each side by '0.26'. y = -5 Simplifying y = -5
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