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Simplifying -6 + -1(-2y + 2) = 3(4y + 2) + -1 Reorder the terms: -6 + -1(2 + -2y) = 3(4y + 2) + -1 -6 + (2 * -1 + -2y * -1) = 3(4y + 2) + -1 -6 + (-2 + 2y) = 3(4y + 2) + -1 Combine like terms: -6 + -2 = -8 -8 + 2y = 3(4y + 2) + -1 Reorder the terms: -8 + 2y = 3(2 + 4y) + -1 -8 + 2y = (2 * 3 + 4y * 3) + -1 -8 + 2y = (6 + 12y) + -1 Reorder the terms: -8 + 2y = 6 + -1 + 12y Combine like terms: 6 + -1 = 5 -8 + 2y = 5 + 12y Solving -8 + 2y = 5 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -8 + 2y + -12y = 5 + 12y + -12y Combine like terms: 2y + -12y = -10y -8 + -10y = 5 + 12y + -12y Combine like terms: 12y + -12y = 0 -8 + -10y = 5 + 0 -8 + -10y = 5 Add '8' to each side of the equation. -8 + 8 + -10y = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -10y = 5 + 8 -10y = 5 + 8 Combine like terms: 5 + 8 = 13 -10y = 13 Divide each side by '-10'. y = -1.3 Simplifying y = -1.3
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