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Simplifying 8(y + -2) = 6(2y + -1) Reorder the terms: 8(-2 + y) = 6(2y + -1) (-2 * 8 + y * 8) = 6(2y + -1) (-16 + 8y) = 6(2y + -1) Reorder the terms: -16 + 8y = 6(-1 + 2y) -16 + 8y = (-1 * 6 + 2y * 6) -16 + 8y = (-6 + 12y) Solving -16 + 8y = -6 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -16 + 8y + -12y = -6 + 12y + -12y Combine like terms: 8y + -12y = -4y -16 + -4y = -6 + 12y + -12y Combine like terms: 12y + -12y = 0 -16 + -4y = -6 + 0 -16 + -4y = -6 Add '16' to each side of the equation. -16 + 16 + -4y = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -4y = -6 + 16 -4y = -6 + 16 Combine like terms: -6 + 16 = 10 -4y = 10 Divide each side by '-4'. y = -2.5 Simplifying y = -2.5
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