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Simplifying -3(5y + -10) + -1y = -3(y + -3) Reorder the terms: -3(-10 + 5y) + -1y = -3(y + -3) (-10 * -3 + 5y * -3) + -1y = -3(y + -3) (30 + -15y) + -1y = -3(y + -3) Combine like terms: -15y + -1y = -16y 30 + -16y = -3(y + -3) Reorder the terms: 30 + -16y = -3(-3 + y) 30 + -16y = (-3 * -3 + y * -3) 30 + -16y = (9 + -3y) Solving 30 + -16y = 9 + -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. 30 + -16y + 3y = 9 + -3y + 3y Combine like terms: -16y + 3y = -13y 30 + -13y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 30 + -13y = 9 + 0 30 + -13y = 9 Add '-30' to each side of the equation. 30 + -30 + -13y = 9 + -30 Combine like terms: 30 + -30 = 0 0 + -13y = 9 + -30 -13y = 9 + -30 Combine like terms: 9 + -30 = -21 -13y = -21 Divide each side by '-13'. y = 1.615384615 Simplifying y = 1.615384615
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