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Simplifying -3(y + -8) + -5 = 9(y + 2) + 1 Reorder the terms: -3(-8 + y) + -5 = 9(y + 2) + 1 (-8 * -3 + y * -3) + -5 = 9(y + 2) + 1 (24 + -3y) + -5 = 9(y + 2) + 1 Reorder the terms: 24 + -5 + -3y = 9(y + 2) + 1 Combine like terms: 24 + -5 = 19 19 + -3y = 9(y + 2) + 1 Reorder the terms: 19 + -3y = 9(2 + y) + 1 19 + -3y = (2 * 9 + y * 9) + 1 19 + -3y = (18 + 9y) + 1 Reorder the terms: 19 + -3y = 18 + 1 + 9y Combine like terms: 18 + 1 = 19 19 + -3y = 19 + 9y Add '-19' to each side of the equation. 19 + -19 + -3y = 19 + -19 + 9y Combine like terms: 19 + -19 = 0 0 + -3y = 19 + -19 + 9y -3y = 19 + -19 + 9y Combine like terms: 19 + -19 = 0 -3y = 0 + 9y -3y = 9y Solving -3y = 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -3y + -9y = 9y + -9y Combine like terms: -3y + -9y = -12y -12y = 9y + -9y Combine like terms: 9y + -9y = 0 -12y = 0 Divide each side by '-12'. y = 0 Simplifying y = 0
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