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Simplifying 0.12(y + -7) + 0.14y = 0.18y + -1.2 Reorder the terms: 0.12(-7 + y) + 0.14y = 0.18y + -1.2 (-7 * 0.12 + y * 0.12) + 0.14y = 0.18y + -1.2 (-0.84 + 0.12y) + 0.14y = 0.18y + -1.2 Combine like terms: 0.12y + 0.14y = 0.26y -0.84 + 0.26y = 0.18y + -1.2 Reorder the terms: -0.84 + 0.26y = -1.2 + 0.18y Solving -0.84 + 0.26y = -1.2 + 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. -0.84 + 0.26y + -0.18y = -1.2 + 0.18y + -0.18y Combine like terms: 0.26y + -0.18y = 0.08y -0.84 + 0.08y = -1.2 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.84 + 0.08y = -1.2 + 0.00 -0.84 + 0.08y = -1.2 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.08y = -1.2 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.08y = -1.2 + 0.84 0.08y = -1.2 + 0.84 Combine like terms: -1.2 + 0.84 = -0.36 0.08y = -0.36 Divide each side by '0.08'. y = -4.5 Simplifying y = -4.5
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