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Simplifying 4y + 2 = -0.033(8 + -12y) Reorder the terms: 2 + 4y = -0.033(8 + -12y) 2 + 4y = (8 * -0.033 + -12y * -0.033) 2 + 4y = (-0.264 + 0.396y) Solving 2 + 4y = -0.264 + 0.396y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.396y' to each side of the equation. 2 + 4y + -0.396y = -0.264 + 0.396y + -0.396y Combine like terms: 4y + -0.396y = 3.604y 2 + 3.604y = -0.264 + 0.396y + -0.396y Combine like terms: 0.396y + -0.396y = 0.000 2 + 3.604y = -0.264 + 0.000 2 + 3.604y = -0.264 Add '-2' to each side of the equation. 2 + -2 + 3.604y = -0.264 + -2 Combine like terms: 2 + -2 = 0 0 + 3.604y = -0.264 + -2 3.604y = -0.264 + -2 Combine like terms: -0.264 + -2 = -2.264 3.604y = -2.264 Divide each side by '3.604'. y = -0.628190899 Simplifying y = -0.628190899
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