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Simplifying 0.12(y + -7) + 0.04y = 0.14y + -7 Reorder the terms: 0.12(-7 + y) + 0.04y = 0.14y + -7 (-7 * 0.12 + y * 0.12) + 0.04y = 0.14y + -7 (-0.84 + 0.12y) + 0.04y = 0.14y + -7 Combine like terms: 0.12y + 0.04y = 0.16y -0.84 + 0.16y = 0.14y + -7 Reorder the terms: -0.84 + 0.16y = -7 + 0.14y Solving -0.84 + 0.16y = -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. -0.84 + 0.16y + -0.14y = -7 + 0.14y + -0.14y Combine like terms: 0.16y + -0.14y = 0.02y -0.84 + 0.02y = -7 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.84 + 0.02y = -7 + 0.00 -0.84 + 0.02y = -7 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.02y = -7 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.02y = -7 + 0.84 0.02y = -7 + 0.84 Combine like terms: -7 + 0.84 = -6.16 0.02y = -6.16 Divide each side by '0.02'. y = -308 Simplifying y = -308
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