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Simplifying 0.10(y + -3) + 0.12y = 0.14y + -0.07(10) Reorder the terms: 0.10(-3 + y) + 0.12y = 0.14y + -0.07(10) (-3 * 0.10 + y * 0.10) + 0.12y = 0.14y + -0.07(10) (-0.3 + 0.10y) + 0.12y = 0.14y + -0.07(10) Combine like terms: 0.10y + 0.12y = 0.22y -0.3 + 0.22y = 0.14y + -0.07(10) Multiply -0.07 * 10 -0.3 + 0.22y = 0.14y + -0.7 Reorder the terms: -0.3 + 0.22y = -0.7 + 0.14y Solving -0.3 + 0.22y = -0.7 + 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. -0.3 + 0.22y + -0.14y = -0.7 + 0.14y + -0.14y Combine like terms: 0.22y + -0.14y = 0.08y -0.3 + 0.08y = -0.7 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.3 + 0.08y = -0.7 + 0.00 -0.3 + 0.08y = -0.7 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.08y = -0.7 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.08y = -0.7 + 0.3 0.08y = -0.7 + 0.3 Combine like terms: -0.7 + 0.3 = -0.4 0.08y = -0.4 Divide each side by '0.08'. y = -5 Simplifying y = -5
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