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Simplifying 0.10(y + -7) + 0.12y = 0.06y + -0.09 Reorder the terms: 0.10(-7 + y) + 0.12y = 0.06y + -0.09 (-7 * 0.10 + y * 0.10) + 0.12y = 0.06y + -0.09 (-0.7 + 0.10y) + 0.12y = 0.06y + -0.09 Combine like terms: 0.10y + 0.12y = 0.22y -0.7 + 0.22y = 0.06y + -0.09 Reorder the terms: -0.7 + 0.22y = -0.09 + 0.06y Solving -0.7 + 0.22y = -0.09 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.7 + 0.22y + -0.06y = -0.09 + 0.06y + -0.06y Combine like terms: 0.22y + -0.06y = 0.16y -0.7 + 0.16y = -0.09 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.7 + 0.16y = -0.09 + 0.00 -0.7 + 0.16y = -0.09 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.16y = -0.09 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.16y = -0.09 + 0.7 0.16y = -0.09 + 0.7 Combine like terms: -0.09 + 0.7 = 0.61 0.16y = 0.61 Divide each side by '0.16'. y = 3.8125 Simplifying y = 3.8125
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