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Simplifying 2(y + -3) + 2 = 6 + -1(y + 4) Reorder the terms: 2(-3 + y) + 2 = 6 + -1(y + 4) (-3 * 2 + y * 2) + 2 = 6 + -1(y + 4) (-6 + 2y) + 2 = 6 + -1(y + 4) Reorder the terms: -6 + 2 + 2y = 6 + -1(y + 4) Combine like terms: -6 + 2 = -4 -4 + 2y = 6 + -1(y + 4) Reorder the terms: -4 + 2y = 6 + -1(4 + y) -4 + 2y = 6 + (4 * -1 + y * -1) -4 + 2y = 6 + (-4 + -1y) Combine like terms: 6 + -4 = 2 -4 + 2y = 2 + -1y Solving -4 + 2y = 2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -4 + 2y + y = 2 + -1y + y Combine like terms: 2y + y = 3y -4 + 3y = 2 + -1y + y Combine like terms: -1y + y = 0 -4 + 3y = 2 + 0 -4 + 3y = 2 Add '4' to each side of the equation. -4 + 4 + 3y = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 3y = 2 + 4 3y = 2 + 4 Combine like terms: 2 + 4 = 6 3y = 6 Divide each side by '3'. y = 2 Simplifying y = 2
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