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Simplifying (y + -5) + -1(y + 7) = 4y Reorder the terms: (-5 + y) + -1(y + 7) = 4y Remove parenthesis around (-5 + y) -5 + y + -1(y + 7) = 4y Reorder the terms: -5 + y + -1(7 + y) = 4y -5 + y + (7 * -1 + y * -1) = 4y -5 + y + (-7 + -1y) = 4y Reorder the terms: -5 + -7 + y + -1y = 4y Combine like terms: -5 + -7 = -12 -12 + y + -1y = 4y Combine like terms: y + -1y = 0 -12 + 0 = 4y -12 = 4y Solving -12 = 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -12 + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -12 + -4y = 0 Add '12' to each side of the equation. -12 + 12 + -4y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -4y = 0 + 12 -4y = 0 + 12 Combine like terms: 0 + 12 = 12 -4y = 12 Divide each side by '-4'. y = -3 Simplifying y = -3
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