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Simplifying -3y + 1(-9y + -3) = -8 + 2(6 + -1y) Reorder the terms: -3y + 1(-3 + -9y) = -8 + 2(6 + -1y) -3y + (-3 * 1 + -9y * 1) = -8 + 2(6 + -1y) -3y + (-3 + -9y) = -8 + 2(6 + -1y) Reorder the terms: -3 + -3y + -9y = -8 + 2(6 + -1y) Combine like terms: -3y + -9y = -12y -3 + -12y = -8 + 2(6 + -1y) -3 + -12y = -8 + (6 * 2 + -1y * 2) -3 + -12y = -8 + (12 + -2y) Combine like terms: -8 + 12 = 4 -3 + -12y = 4 + -2y Solving -3 + -12y = 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. -3 + -12y + 2y = 4 + -2y + 2y Combine like terms: -12y + 2y = -10y -3 + -10y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 -3 + -10y = 4 + 0 -3 + -10y = 4 Add '3' to each side of the equation. -3 + 3 + -10y = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -10y = 4 + 3 -10y = 4 + 3 Combine like terms: 4 + 3 = 7 -10y = 7 Divide each side by '-10'. y = -0.7 Simplifying y = -0.7
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