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Simplifying 0.12(y + -8) + 0.1 = 0.16 + -1.5 Reorder the terms: 0.12(-8 + y) + 0.1 = 0.16 + -1.5 (-8 * 0.12 + y * 0.12) + 0.1 = 0.16 + -1.5 (-0.96 + 0.12y) + 0.1 = 0.16 + -1.5 Reorder the terms: -0.96 + 0.1 + 0.12y = 0.16 + -1.5 Combine like terms: -0.96 + 0.1 = -0.86 -0.86 + 0.12y = 0.16 + -1.5 Combine like terms: 0.16 + -1.5 = -1.34 -0.86 + 0.12y = -1.34 Solving -0.86 + 0.12y = -1.34 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.86' to each side of the equation. -0.86 + 0.86 + 0.12y = -1.34 + 0.86 Combine like terms: -0.86 + 0.86 = 0.00 0.00 + 0.12y = -1.34 + 0.86 0.12y = -1.34 + 0.86 Combine like terms: -1.34 + 0.86 = -0.48 0.12y = -0.48 Divide each side by '0.12'. y = -4 Simplifying y = -4
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