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Simplifying -2(3y + -4) + -1y = -3(y + -5) Reorder the terms: -2(-4 + 3y) + -1y = -3(y + -5) (-4 * -2 + 3y * -2) + -1y = -3(y + -5) (8 + -6y) + -1y = -3(y + -5) Combine like terms: -6y + -1y = -7y 8 + -7y = -3(y + -5) Reorder the terms: 8 + -7y = -3(-5 + y) 8 + -7y = (-5 * -3 + y * -3) 8 + -7y = (15 + -3y) Solving 8 + -7y = 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. 8 + -7y + 3y = 15 + -3y + 3y Combine like terms: -7y + 3y = -4y 8 + -4y = 15 + -3y + 3y Combine like terms: -3y + 3y = 0 8 + -4y = 15 + 0 8 + -4y = 15 Add '-8' to each side of the equation. 8 + -8 + -4y = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -4y = 15 + -8 -4y = 15 + -8 Combine like terms: 15 + -8 = 7 -4y = 7 Divide each side by '-4'. y = -1.75 Simplifying y = -1.75
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