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Simplifying -3(3y + -2) + -1y = -4(y + -3) Reorder the terms: -3(-2 + 3y) + -1y = -4(y + -3) (-2 * -3 + 3y * -3) + -1y = -4(y + -3) (6 + -9y) + -1y = -4(y + -3) Combine like terms: -9y + -1y = -10y 6 + -10y = -4(y + -3) Reorder the terms: 6 + -10y = -4(-3 + y) 6 + -10y = (-3 * -4 + y * -4) 6 + -10y = (12 + -4y) Solving 6 + -10y = 12 + -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. 6 + -10y + 4y = 12 + -4y + 4y Combine like terms: -10y + 4y = -6y 6 + -6y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + -6y = 12 + 0 6 + -6y = 12 Add '-6' to each side of the equation. 6 + -6 + -6y = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -6y = 12 + -6 -6y = 12 + -6 Combine like terms: 12 + -6 = 6 -6y = 6 Divide each side by '-6'. y = -1 Simplifying y = -1
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