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Simplifying 6(3y + -3) + -22 = 3(2y + -1) + 20 Reorder the terms: 6(-3 + 3y) + -22 = 3(2y + -1) + 20 (-3 * 6 + 3y * 6) + -22 = 3(2y + -1) + 20 (-18 + 18y) + -22 = 3(2y + -1) + 20 Reorder the terms: -18 + -22 + 18y = 3(2y + -1) + 20 Combine like terms: -18 + -22 = -40 -40 + 18y = 3(2y + -1) + 20 Reorder the terms: -40 + 18y = 3(-1 + 2y) + 20 -40 + 18y = (-1 * 3 + 2y * 3) + 20 -40 + 18y = (-3 + 6y) + 20 Reorder the terms: -40 + 18y = -3 + 20 + 6y Combine like terms: -3 + 20 = 17 -40 + 18y = 17 + 6y Solving -40 + 18y = 17 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -40 + 18y + -6y = 17 + 6y + -6y Combine like terms: 18y + -6y = 12y -40 + 12y = 17 + 6y + -6y Combine like terms: 6y + -6y = 0 -40 + 12y = 17 + 0 -40 + 12y = 17 Add '40' to each side of the equation. -40 + 40 + 12y = 17 + 40 Combine like terms: -40 + 40 = 0 0 + 12y = 17 + 40 12y = 17 + 40 Combine like terms: 17 + 40 = 57 12y = 57 Divide each side by '12'. y = 4.75 Simplifying y = 4.75
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