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Simplifying (y + -2) + -5 = 8 + -2(y + -4) Reorder the terms: (-2 + y) + -5 = 8 + -2(y + -4) Remove parenthesis around (-2 + y) -2 + y + -5 = 8 + -2(y + -4) Reorder the terms: -2 + -5 + y = 8 + -2(y + -4) Combine like terms: -2 + -5 = -7 -7 + y = 8 + -2(y + -4) Reorder the terms: -7 + y = 8 + -2(-4 + y) -7 + y = 8 + (-4 * -2 + y * -2) -7 + y = 8 + (8 + -2y) Combine like terms: 8 + 8 = 16 -7 + y = 16 + -2y Solving -7 + y = 16 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -7 + y + 2y = 16 + -2y + 2y Combine like terms: y + 2y = 3y -7 + 3y = 16 + -2y + 2y Combine like terms: -2y + 2y = 0 -7 + 3y = 16 + 0 -7 + 3y = 16 Add '7' to each side of the equation. -7 + 7 + 3y = 16 + 7 Combine like terms: -7 + 7 = 0 0 + 3y = 16 + 7 3y = 16 + 7 Combine like terms: 16 + 7 = 23 3y = 23 Divide each side by '3'. y = 7.666666667 Simplifying y = 7.666666667
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