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Simplifying -6y + 6(-2y + 2) = 5 + -8(-2 + -1y) Reorder the terms: -6y + 6(2 + -2y) = 5 + -8(-2 + -1y) -6y + (2 * 6 + -2y * 6) = 5 + -8(-2 + -1y) -6y + (12 + -12y) = 5 + -8(-2 + -1y) Reorder the terms: 12 + -6y + -12y = 5 + -8(-2 + -1y) Combine like terms: -6y + -12y = -18y 12 + -18y = 5 + -8(-2 + -1y) 12 + -18y = 5 + (-2 * -8 + -1y * -8) 12 + -18y = 5 + (16 + 8y) Combine like terms: 5 + 16 = 21 12 + -18y = 21 + 8y Solving 12 + -18y = 21 + 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. 12 + -18y + -8y = 21 + 8y + -8y Combine like terms: -18y + -8y = -26y 12 + -26y = 21 + 8y + -8y Combine like terms: 8y + -8y = 0 12 + -26y = 21 + 0 12 + -26y = 21 Add '-12' to each side of the equation. 12 + -12 + -26y = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -26y = 21 + -12 -26y = 21 + -12 Combine like terms: 21 + -12 = 9 -26y = 9 Divide each side by '-26'. y = -0.3461538462 Simplifying y = -0.3461538462
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