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Simplifying 0.06(y + -8) + 0.16 = 0.12y + -0.01(70) Reorder the terms: 0.06(-8 + y) + 0.16 = 0.12y + -0.01(70) (-8 * 0.06 + y * 0.06) + 0.16 = 0.12y + -0.01(70) (-0.48 + 0.06y) + 0.16 = 0.12y + -0.01(70) Reorder the terms: -0.48 + 0.16 + 0.06y = 0.12y + -0.01(70) Combine like terms: -0.48 + 0.16 = -0.32 -0.32 + 0.06y = 0.12y + -0.01(70) Multiply -0.01 * 70 -0.32 + 0.06y = 0.12y + -0.7 Reorder the terms: -0.32 + 0.06y = -0.7 + 0.12y Solving -0.32 + 0.06y = -0.7 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.32 + 0.06y + -0.12y = -0.7 + 0.12y + -0.12y Combine like terms: 0.06y + -0.12y = -0.06y -0.32 + -0.06y = -0.7 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.32 + -0.06y = -0.7 + 0.00 -0.32 + -0.06y = -0.7 Add '0.32' to each side of the equation. -0.32 + 0.32 + -0.06y = -0.7 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + -0.06y = -0.7 + 0.32 -0.06y = -0.7 + 0.32 Combine like terms: -0.7 + 0.32 = -0.38 -0.06y = -0.38 Divide each side by '-0.06'. y = 6.333333333 Simplifying y = 6.333333333
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