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Simplifying 0.003(6y + -12) = 8 + -4y Reorder the terms: 0.003(-12 + 6y) = 8 + -4y (-12 * 0.003 + 6y * 0.003) = 8 + -4y (-0.036 + 0.018y) = 8 + -4y Solving -0.036 + 0.018y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -0.036 + 0.018y + 4y = 8 + -4y + 4y Combine like terms: 0.018y + 4y = 4.018y -0.036 + 4.018y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 -0.036 + 4.018y = 8 + 0 -0.036 + 4.018y = 8 Add '0.036' to each side of the equation. -0.036 + 0.036 + 4.018y = 8 + 0.036 Combine like terms: -0.036 + 0.036 = 0.000 0.000 + 4.018y = 8 + 0.036 4.018y = 8 + 0.036 Combine like terms: 8 + 0.036 = 8.036 4.018y = 8.036 Divide each side by '4.018'. y = 2 Simplifying y = 2
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