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