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Simplifying -5(4y + -3) + -1y = -3(y + -5) Reorder the terms: -5(-3 + 4y) + -1y = -3(y + -5) (-3 * -5 + 4y * -5) + -1y = -3(y + -5) (15 + -20y) + -1y = -3(y + -5) Combine like terms: -20y + -1y = -21y 15 + -21y = -3(y + -5) Reorder the terms: 15 + -21y = -3(-5 + y) 15 + -21y = (-5 * -3 + y * -3) 15 + -21y = (15 + -3y) Add '-15' to each side of the equation. 15 + -15 + -21y = 15 + -15 + -3y Combine like terms: 15 + -15 = 0 0 + -21y = 15 + -15 + -3y -21y = 15 + -15 + -3y Combine like terms: 15 + -15 = 0 -21y = 0 + -3y -21y = -3y Solving -21y = -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. -21y + 3y = -3y + 3y Combine like terms: -21y + 3y = -18y -18y = -3y + 3y Combine like terms: -3y + 3y = 0 -18y = 0 Divide each side by '-18'. y = 0 Simplifying y = 0
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