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Simplifying -5(4y + -5) + -1y = -2(y + -3) Reorder the terms: -5(-5 + 4y) + -1y = -2(y + -3) (-5 * -5 + 4y * -5) + -1y = -2(y + -3) (25 + -20y) + -1y = -2(y + -3) Combine like terms: -20y + -1y = -21y 25 + -21y = -2(y + -3) Reorder the terms: 25 + -21y = -2(-3 + y) 25 + -21y = (-3 * -2 + y * -2) 25 + -21y = (6 + -2y) Solving 25 + -21y = 6 + -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. 25 + -21y + 2y = 6 + -2y + 2y Combine like terms: -21y + 2y = -19y 25 + -19y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 25 + -19y = 6 + 0 25 + -19y = 6 Add '-25' to each side of the equation. 25 + -25 + -19y = 6 + -25 Combine like terms: 25 + -25 = 0 0 + -19y = 6 + -25 -19y = 6 + -25 Combine like terms: 6 + -25 = -19 -19y = -19 Divide each side by '-19'. y = 1 Simplifying y = 1
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