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Simplifying (2y + -1) = -10(y + -5) Reorder the terms: (-1 + 2y) = -10(y + -5) Remove parenthesis around (-1 + 2y) -1 + 2y = -10(y + -5) Reorder the terms: -1 + 2y = -10(-5 + y) -1 + 2y = (-5 * -10 + y * -10) -1 + 2y = (50 + -10y) Solving -1 + 2y = 50 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -1 + 2y + 10y = 50 + -10y + 10y Combine like terms: 2y + 10y = 12y -1 + 12y = 50 + -10y + 10y Combine like terms: -10y + 10y = 0 -1 + 12y = 50 + 0 -1 + 12y = 50 Add '1' to each side of the equation. -1 + 1 + 12y = 50 + 1 Combine like terms: -1 + 1 = 0 0 + 12y = 50 + 1 12y = 50 + 1 Combine like terms: 50 + 1 = 51 12y = 51 Divide each side by '12'. y = 4.25 Simplifying y = 4.25
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