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Simplifying -3(3y + -7) + -1y = -4(y + -2) Reorder the terms: -3(-7 + 3y) + -1y = -4(y + -2) (-7 * -3 + 3y * -3) + -1y = -4(y + -2) (21 + -9y) + -1y = -4(y + -2) Combine like terms: -9y + -1y = -10y 21 + -10y = -4(y + -2) Reorder the terms: 21 + -10y = -4(-2 + y) 21 + -10y = (-2 * -4 + y * -4) 21 + -10y = (8 + -4y) Solving 21 + -10y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 21 + -10y + 4y = 8 + -4y + 4y Combine like terms: -10y + 4y = -6y 21 + -6y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 21 + -6y = 8 + 0 21 + -6y = 8 Add '-21' to each side of the equation. 21 + -21 + -6y = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -6y = 8 + -21 -6y = 8 + -21 Combine like terms: 8 + -21 = -13 -6y = -13 Divide each side by '-6'. y = 2.166666667 Simplifying y = 2.166666667
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