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Simplifying -3(6y + -7) + -1y = 3(y + -5) Reorder the terms: -3(-7 + 6y) + -1y = 3(y + -5) (-7 * -3 + 6y * -3) + -1y = 3(y + -5) (21 + -18y) + -1y = 3(y + -5) Combine like terms: -18y + -1y = -19y 21 + -19y = 3(y + -5) Reorder the terms: 21 + -19y = 3(-5 + y) 21 + -19y = (-5 * 3 + y * 3) 21 + -19y = (-15 + 3y) Solving 21 + -19y = -15 + 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. 21 + -19y + -3y = -15 + 3y + -3y Combine like terms: -19y + -3y = -22y 21 + -22y = -15 + 3y + -3y Combine like terms: 3y + -3y = 0 21 + -22y = -15 + 0 21 + -22y = -15 Add '-21' to each side of the equation. 21 + -21 + -22y = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -22y = -15 + -21 -22y = -15 + -21 Combine like terms: -15 + -21 = -36 -22y = -36 Divide each side by '-22'. y = 1.636363636 Simplifying y = 1.636363636
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