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Simplifying -5(3y + -5) + -1y = -3(y + -2) Reorder the terms: -5(-5 + 3y) + -1y = -3(y + -2) (-5 * -5 + 3y * -5) + -1y = -3(y + -2) (25 + -15y) + -1y = -3(y + -2) Combine like terms: -15y + -1y = -16y 25 + -16y = -3(y + -2) Reorder the terms: 25 + -16y = -3(-2 + y) 25 + -16y = (-2 * -3 + y * -3) 25 + -16y = (6 + -3y) Solving 25 + -16y = 6 + -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. 25 + -16y + 3y = 6 + -3y + 3y Combine like terms: -16y + 3y = -13y 25 + -13y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 25 + -13y = 6 + 0 25 + -13y = 6 Add '-25' to each side of the equation. 25 + -25 + -13y = 6 + -25 Combine like terms: 25 + -25 = 0 0 + -13y = 6 + -25 -13y = 6 + -25 Combine like terms: 6 + -25 = -19 -13y = -19 Divide each side by '-13'. y = 1.461538462 Simplifying y = 1.461538462
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