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Simplifying 33(2y + 4) = 4(2y + -0.5) Reorder the terms: 33(4 + 2y) = 4(2y + -0.5) (4 * 33 + 2y * 33) = 4(2y + -0.5) (132 + 66y) = 4(2y + -0.5) Reorder the terms: 132 + 66y = 4(-0.5 + 2y) 132 + 66y = (-0.5 * 4 + 2y * 4) 132 + 66y = (-2 + 8y) Solving 132 + 66y = -2 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 132 + 66y + -8y = -2 + 8y + -8y Combine like terms: 66y + -8y = 58y 132 + 58y = -2 + 8y + -8y Combine like terms: 8y + -8y = 0 132 + 58y = -2 + 0 132 + 58y = -2 Add '-132' to each side of the equation. 132 + -132 + 58y = -2 + -132 Combine like terms: 132 + -132 = 0 0 + 58y = -2 + -132 58y = -2 + -132 Combine like terms: -2 + -132 = -134 58y = -134 Divide each side by '58'. y = -2.310344828 Simplifying y = -2.310344828
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