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Simplifying -3(2y + -2) + 8y = 8 + 4(2y + -1) Reorder the terms: -3(-2 + 2y) + 8y = 8 + 4(2y + -1) (-2 * -3 + 2y * -3) + 8y = 8 + 4(2y + -1) (6 + -6y) + 8y = 8 + 4(2y + -1) Combine like terms: -6y + 8y = 2y 6 + 2y = 8 + 4(2y + -1) Reorder the terms: 6 + 2y = 8 + 4(-1 + 2y) 6 + 2y = 8 + (-1 * 4 + 2y * 4) 6 + 2y = 8 + (-4 + 8y) Combine like terms: 8 + -4 = 4 6 + 2y = 4 + 8y Solving 6 + 2y = 4 + 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. 6 + 2y + -8y = 4 + 8y + -8y Combine like terms: 2y + -8y = -6y 6 + -6y = 4 + 8y + -8y Combine like terms: 8y + -8y = 0 6 + -6y = 4 + 0 6 + -6y = 4 Add '-6' to each side of the equation. 6 + -6 + -6y = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -6y = 4 + -6 -6y = 4 + -6 Combine like terms: 4 + -6 = -2 -6y = -2 Divide each side by '-6'. y = 0.3333333333 Simplifying y = 0.3333333333
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