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Simplifying -2(4y + -1) + 8y = 8 + 3(2y + -3) Reorder the terms: -2(-1 + 4y) + 8y = 8 + 3(2y + -3) (-1 * -2 + 4y * -2) + 8y = 8 + 3(2y + -3) (2 + -8y) + 8y = 8 + 3(2y + -3) Combine like terms: -8y + 8y = 0 2 + 0 = 8 + 3(2y + -3) 2 = 8 + 3(2y + -3) Reorder the terms: 2 = 8 + 3(-3 + 2y) 2 = 8 + (-3 * 3 + 2y * 3) 2 = 8 + (-9 + 6y) Combine like terms: 8 + -9 = -1 2 = -1 + 6y Solving 2 = -1 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2 + -6y = -1 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + -6y = -1 + 0 2 + -6y = -1 Add '-2' to each side of the equation. 2 + -2 + -6y = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -6y = -1 + -2 -6y = -1 + -2 Combine like terms: -1 + -2 = -3 -6y = -3 Divide each side by '-6'. y = 0.5 Simplifying y = 0.5
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