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Simplifying -2(3y + -6) + -1y = -4(y + -5) Reorder the terms: -2(-6 + 3y) + -1y = -4(y + -5) (-6 * -2 + 3y * -2) + -1y = -4(y + -5) (12 + -6y) + -1y = -4(y + -5) Combine like terms: -6y + -1y = -7y 12 + -7y = -4(y + -5) Reorder the terms: 12 + -7y = -4(-5 + y) 12 + -7y = (-5 * -4 + y * -4) 12 + -7y = (20 + -4y) Solving 12 + -7y = 20 + -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. 12 + -7y + 4y = 20 + -4y + 4y Combine like terms: -7y + 4y = -3y 12 + -3y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + -3y = 20 + 0 12 + -3y = 20 Add '-12' to each side of the equation. 12 + -12 + -3y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -3y = 20 + -12 -3y = 20 + -12 Combine like terms: 20 + -12 = 8 -3y = 8 Divide each side by '-3'. y = -2.666666667 Simplifying y = -2.666666667
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