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Simplifying 0.14(y + -5) + 0.12y = 0.18y + -0.3 Reorder the terms: 0.14(-5 + y) + 0.12y = 0.18y + -0.3 (-5 * 0.14 + y * 0.14) + 0.12y = 0.18y + -0.3 (-0.7 + 0.14y) + 0.12y = 0.18y + -0.3 Combine like terms: 0.14y + 0.12y = 0.26y -0.7 + 0.26y = 0.18y + -0.3 Reorder the terms: -0.7 + 0.26y = -0.3 + 0.18y Solving -0.7 + 0.26y = -0.3 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.7 + 0.26y + -0.18y = -0.3 + 0.18y + -0.18y Combine like terms: 0.26y + -0.18y = 0.08y -0.7 + 0.08y = -0.3 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.7 + 0.08y = -0.3 + 0.00 -0.7 + 0.08y = -0.3 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.08y = -0.3 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.08y = -0.3 + 0.7 0.08y = -0.3 + 0.7 Combine like terms: -0.3 + 0.7 = 0.4 0.08y = 0.4 Divide each side by '0.08'. y = 5 Simplifying y = 5
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