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Simplifying -3(2y + -4) + -1y = -2(y + -5) Reorder the terms: -3(-4 + 2y) + -1y = -2(y + -5) (-4 * -3 + 2y * -3) + -1y = -2(y + -5) (12 + -6y) + -1y = -2(y + -5) Combine like terms: -6y + -1y = -7y 12 + -7y = -2(y + -5) Reorder the terms: 12 + -7y = -2(-5 + y) 12 + -7y = (-5 * -2 + y * -2) 12 + -7y = (10 + -2y) Solving 12 + -7y = 10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 12 + -7y + 2y = 10 + -2y + 2y Combine like terms: -7y + 2y = -5y 12 + -5y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + -5y = 10 + 0 12 + -5y = 10 Add '-12' to each side of the equation. 12 + -12 + -5y = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -5y = 10 + -12 -5y = 10 + -12 Combine like terms: 10 + -12 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4
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