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Simplifying 0.12(y + -7) + 0.20y = 0.14y + -2.1 Reorder the terms: 0.12(-7 + y) + 0.20y = 0.14y + -2.1 (-7 * 0.12 + y * 0.12) + 0.20y = 0.14y + -2.1 (-0.84 + 0.12y) + 0.20y = 0.14y + -2.1 Combine like terms: 0.12y + 0.20y = 0.32y -0.84 + 0.32y = 0.14y + -2.1 Reorder the terms: -0.84 + 0.32y = -2.1 + 0.14y Solving -0.84 + 0.32y = -2.1 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.84 + 0.32y + -0.14y = -2.1 + 0.14y + -0.14y Combine like terms: 0.32y + -0.14y = 0.18y -0.84 + 0.18y = -2.1 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.84 + 0.18y = -2.1 + 0.00 -0.84 + 0.18y = -2.1 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.18y = -2.1 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.18y = -2.1 + 0.84 0.18y = -2.1 + 0.84 Combine like terms: -2.1 + 0.84 = -1.26 0.18y = -1.26 Divide each side by '0.18'. y = -7 Simplifying y = -7
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