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Simplifying -6(2y + -2) + 8y = 2(y + 2) Reorder the terms: -6(-2 + 2y) + 8y = 2(y + 2) (-2 * -6 + 2y * -6) + 8y = 2(y + 2) (12 + -12y) + 8y = 2(y + 2) Combine like terms: -12y + 8y = -4y 12 + -4y = 2(y + 2) Reorder the terms: 12 + -4y = 2(2 + y) 12 + -4y = (2 * 2 + y * 2) 12 + -4y = (4 + 2y) Solving 12 + -4y = 4 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 12 + -4y + -2y = 4 + 2y + -2y Combine like terms: -4y + -2y = -6y 12 + -6y = 4 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + -6y = 4 + 0 12 + -6y = 4 Add '-12' to each side of the equation. 12 + -12 + -6y = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = 4 + -12 -6y = 4 + -12 Combine like terms: 4 + -12 = -8 -6y = -8 Divide each side by '-6'. y = 1.333333333 Simplifying y = 1.333333333
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