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Simplifying -3(5y + -4) + -1y = -3(y + -4) Reorder the terms: -3(-4 + 5y) + -1y = -3(y + -4) (-4 * -3 + 5y * -3) + -1y = -3(y + -4) (12 + -15y) + -1y = -3(y + -4) Combine like terms: -15y + -1y = -16y 12 + -16y = -3(y + -4) Reorder the terms: 12 + -16y = -3(-4 + y) 12 + -16y = (-4 * -3 + y * -3) 12 + -16y = (12 + -3y) Add '-12' to each side of the equation. 12 + -12 + -16y = 12 + -12 + -3y Combine like terms: 12 + -12 = 0 0 + -16y = 12 + -12 + -3y -16y = 12 + -12 + -3y Combine like terms: 12 + -12 = 0 -16y = 0 + -3y -16y = -3y Solving -16y = -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. -16y + 3y = -3y + 3y Combine like terms: -16y + 3y = -13y -13y = -3y + 3y Combine like terms: -3y + 3y = 0 -13y = 0 Divide each side by '-13'. y = 0 Simplifying y = 0
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