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Simplifying 8(y + -3) = 2 + -4(y + -1) Reorder the terms: 8(-3 + y) = 2 + -4(y + -1) (-3 * 8 + y * 8) = 2 + -4(y + -1) (-24 + 8y) = 2 + -4(y + -1) Reorder the terms: -24 + 8y = 2 + -4(-1 + y) -24 + 8y = 2 + (-1 * -4 + y * -4) -24 + 8y = 2 + (4 + -4y) Combine like terms: 2 + 4 = 6 -24 + 8y = 6 + -4y Solving -24 + 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. -24 + 8y + 4y = 6 + -4y + 4y Combine like terms: 8y + 4y = 12y -24 + 12y = 6 + -4y + 4y Combine like terms: -4y + 4y = 0 -24 + 12y = 6 + 0 -24 + 12y = 6 Add '24' to each side of the equation. -24 + 24 + 12y = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 12y = 6 + 24 12y = 6 + 24 Combine like terms: 6 + 24 = 30 12y = 30 Divide each side by '12'. y = 2.5 Simplifying y = 2.5
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