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Simplifying 8(y + -1) = 6(2y + -6) Reorder the terms: 8(-1 + y) = 6(2y + -6) (-1 * 8 + y * 8) = 6(2y + -6) (-8 + 8y) = 6(2y + -6) Reorder the terms: -8 + 8y = 6(-6 + 2y) -8 + 8y = (-6 * 6 + 2y * 6) -8 + 8y = (-36 + 12y) Solving -8 + 8y = -36 + 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. -8 + 8y + -12y = -36 + 12y + -12y Combine like terms: 8y + -12y = -4y -8 + -4y = -36 + 12y + -12y Combine like terms: 12y + -12y = 0 -8 + -4y = -36 + 0 -8 + -4y = -36 Add '8' to each side of the equation. -8 + 8 + -4y = -36 + 8 Combine like terms: -8 + 8 = 0 0 + -4y = -36 + 8 -4y = -36 + 8 Combine like terms: -36 + 8 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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