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Simplifying (2(2y + -13) * 3) = 3y + -22 Reorder the terms: (2(-13 + 2y) * 3) = 3y + -22 Reorder the terms for easier multiplication: (2 * 3(-13 + 2y)) = 3y + -22 Multiply 2 * 3 (6(-13 + 2y)) = 3y + -22 ((-13 * 6 + 2y * 6)) = 3y + -22 ((-78 + 12y)) = 3y + -22 (-78 + 12y) = 3y + -22 Remove parenthesis around (-78 + 12y) -78 + 12y = 3y + -22 Reorder the terms: -78 + 12y = -22 + 3y Solving -78 + 12y = -22 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -78 + 12y + -3y = -22 + 3y + -3y Combine like terms: 12y + -3y = 9y -78 + 9y = -22 + 3y + -3y Combine like terms: 3y + -3y = 0 -78 + 9y = -22 + 0 -78 + 9y = -22 Add '78' to each side of the equation. -78 + 78 + 9y = -22 + 78 Combine like terms: -78 + 78 = 0 0 + 9y = -22 + 78 9y = -22 + 78 Combine like terms: -22 + 78 = 56 9y = 56 Divide each side by '9'. y = 6.222222222 Simplifying y = 6.222222222
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