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Simplifying (y + -5) + -1(y + 4) = 10y Reorder the terms: (-5 + y) + -1(y + 4) = 10y Remove parenthesis around (-5 + y) -5 + y + -1(y + 4) = 10y Reorder the terms: -5 + y + -1(4 + y) = 10y -5 + y + (4 * -1 + y * -1) = 10y -5 + y + (-4 + -1y) = 10y Reorder the terms: -5 + -4 + y + -1y = 10y Combine like terms: -5 + -4 = -9 -9 + y + -1y = 10y Combine like terms: y + -1y = 0 -9 + 0 = 10y -9 = 10y Solving -9 = 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. -9 + -10y = 10y + -10y Combine like terms: 10y + -10y = 0 -9 + -10y = 0 Add '9' to each side of the equation. -9 + 9 + -10y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -10y = 0 + 9 -10y = 0 + 9 Combine like terms: 0 + 9 = 9 -10y = 9 Divide each side by '-10'. y = -0.9 Simplifying y = -0.9
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