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Simplifying -3y + -4(-3y + 8) = -6 + -2(2 + -1y) Reorder the terms: -3y + -4(8 + -3y) = -6 + -2(2 + -1y) -3y + (8 * -4 + -3y * -4) = -6 + -2(2 + -1y) -3y + (-32 + 12y) = -6 + -2(2 + -1y) Reorder the terms: -32 + -3y + 12y = -6 + -2(2 + -1y) Combine like terms: -3y + 12y = 9y -32 + 9y = -6 + -2(2 + -1y) -32 + 9y = -6 + (2 * -2 + -1y * -2) -32 + 9y = -6 + (-4 + 2y) Combine like terms: -6 + -4 = -10 -32 + 9y = -10 + 2y Solving -32 + 9y = -10 + 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. -32 + 9y + -2y = -10 + 2y + -2y Combine like terms: 9y + -2y = 7y -32 + 7y = -10 + 2y + -2y Combine like terms: 2y + -2y = 0 -32 + 7y = -10 + 0 -32 + 7y = -10 Add '32' to each side of the equation. -32 + 32 + 7y = -10 + 32 Combine like terms: -32 + 32 = 0 0 + 7y = -10 + 32 7y = -10 + 32 Combine like terms: -10 + 32 = 22 7y = 22 Divide each side by '7'. y = 3.142857143 Simplifying y = 3.142857143
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