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Simplifying 0.16(y + -7) + 0.22y = 0.08y + -0.9 Reorder the terms: 0.16(-7 + y) + 0.22y = 0.08y + -0.9 (-7 * 0.16 + y * 0.16) + 0.22y = 0.08y + -0.9 (-1.12 + 0.16y) + 0.22y = 0.08y + -0.9 Combine like terms: 0.16y + 0.22y = 0.38y -1.12 + 0.38y = 0.08y + -0.9 Reorder the terms: -1.12 + 0.38y = -0.9 + 0.08y Solving -1.12 + 0.38y = -0.9 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -1.12 + 0.38y + -0.08y = -0.9 + 0.08y + -0.08y Combine like terms: 0.38y + -0.08y = 0.3y -1.12 + 0.3y = -0.9 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -1.12 + 0.3y = -0.9 + 0.00 -1.12 + 0.3y = -0.9 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.3y = -0.9 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.3y = -0.9 + 1.12 0.3y = -0.9 + 1.12 Combine like terms: -0.9 + 1.12 = 0.22 0.3y = 0.22 Divide each side by '0.3'. y = 0.7333333333 Simplifying y = 0.7333333333
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