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Simplifying 8(y + -3) + -2 = 2 + -4(y + -1) Reorder the terms: 8(-3 + y) + -2 = 2 + -4(y + -1) (-3 * 8 + y * 8) + -2 = 2 + -4(y + -1) (-24 + 8y) + -2 = 2 + -4(y + -1) Reorder the terms: -24 + -2 + 8y = 2 + -4(y + -1) Combine like terms: -24 + -2 = -26 -26 + 8y = 2 + -4(y + -1) Reorder the terms: -26 + 8y = 2 + -4(-1 + y) -26 + 8y = 2 + (-1 * -4 + y * -4) -26 + 8y = 2 + (4 + -4y) Combine like terms: 2 + 4 = 6 -26 + 8y = 6 + -4y Solving -26 + 8y = 6 + -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. -26 + 8y + 4y = 6 + -4y + 4y Combine like terms: 8y + 4y = 12y -26 + 12y = 6 + -4y + 4y Combine like terms: -4y + 4y = 0 -26 + 12y = 6 + 0 -26 + 12y = 6 Add '26' to each side of the equation. -26 + 26 + 12y = 6 + 26 Combine like terms: -26 + 26 = 0 0 + 12y = 6 + 26 12y = 6 + 26 Combine like terms: 6 + 26 = 32 12y = 32 Divide each side by '12'. y = 2.666666667 Simplifying y = 2.666666667
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