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Simplifying 0.10(y + -1) + 0.12y = 0.06y + -1.5 Reorder the terms: 0.10(-1 + y) + 0.12y = 0.06y + -1.5 (-1 * 0.10 + y * 0.10) + 0.12y = 0.06y + -1.5 (-0.1 + 0.10y) + 0.12y = 0.06y + -1.5 Combine like terms: 0.10y + 0.12y = 0.22y -0.1 + 0.22y = 0.06y + -1.5 Reorder the terms: -0.1 + 0.22y = -1.5 + 0.06y Solving -0.1 + 0.22y = -1.5 + 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. -0.1 + 0.22y + -0.06y = -1.5 + 0.06y + -0.06y Combine like terms: 0.22y + -0.06y = 0.16y -0.1 + 0.16y = -1.5 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.1 + 0.16y = -1.5 + 0.00 -0.1 + 0.16y = -1.5 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.16y = -1.5 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.16y = -1.5 + 0.1 0.16y = -1.5 + 0.1 Combine like terms: -1.5 + 0.1 = -1.4 0.16y = -1.4 Divide each side by '0.16'. y = -8.75 Simplifying y = -8.75
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