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Simplifying -1(y + 7) + -4 = 3(y + 3) Reorder the terms: -1(7 + y) + -4 = 3(y + 3) (7 * -1 + y * -1) + -4 = 3(y + 3) (-7 + -1y) + -4 = 3(y + 3) Reorder the terms: -7 + -4 + -1y = 3(y + 3) Combine like terms: -7 + -4 = -11 -11 + -1y = 3(y + 3) Reorder the terms: -11 + -1y = 3(3 + y) -11 + -1y = (3 * 3 + y * 3) -11 + -1y = (9 + 3y) Solving -11 + -1y = 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. -11 + -1y + -3y = 9 + 3y + -3y Combine like terms: -1y + -3y = -4y -11 + -4y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 -11 + -4y = 9 + 0 -11 + -4y = 9 Add '11' to each side of the equation. -11 + 11 + -4y = 9 + 11 Combine like terms: -11 + 11 = 0 0 + -4y = 9 + 11 -4y = 9 + 11 Combine like terms: 9 + 11 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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