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Simplifying -10(y + -15) + -20 = 4y + -1(y + -5) Reorder the terms: -10(-15 + y) + -20 = 4y + -1(y + -5) (-15 * -10 + y * -10) + -20 = 4y + -1(y + -5) (150 + -10y) + -20 = 4y + -1(y + -5) Reorder the terms: 150 + -20 + -10y = 4y + -1(y + -5) Combine like terms: 150 + -20 = 130 130 + -10y = 4y + -1(y + -5) Reorder the terms: 130 + -10y = 4y + -1(-5 + y) 130 + -10y = 4y + (-5 * -1 + y * -1) 130 + -10y = 4y + (5 + -1y) Reorder the terms: 130 + -10y = 5 + 4y + -1y Combine like terms: 4y + -1y = 3y 130 + -10y = 5 + 3y Solving 130 + -10y = 5 + 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. 130 + -10y + -3y = 5 + 3y + -3y Combine like terms: -10y + -3y = -13y 130 + -13y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 130 + -13y = 5 + 0 130 + -13y = 5 Add '-130' to each side of the equation. 130 + -130 + -13y = 5 + -130 Combine like terms: 130 + -130 = 0 0 + -13y = 5 + -130 -13y = 5 + -130 Combine like terms: 5 + -130 = -125 -13y = -125 Divide each side by '-13'. y = 9.615384615 Simplifying y = 9.615384615
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