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Simplifying 6(2y + -3) = 4(y + 8) Reorder the terms: 6(-3 + 2y) = 4(y + 8) (-3 * 6 + 2y * 6) = 4(y + 8) (-18 + 12y) = 4(y + 8) Reorder the terms: -18 + 12y = 4(8 + y) -18 + 12y = (8 * 4 + y * 4) -18 + 12y = (32 + 4y) Solving -18 + 12y = 32 + 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. -18 + 12y + -4y = 32 + 4y + -4y Combine like terms: 12y + -4y = 8y -18 + 8y = 32 + 4y + -4y Combine like terms: 4y + -4y = 0 -18 + 8y = 32 + 0 -18 + 8y = 32 Add '18' to each side of the equation. -18 + 18 + 8y = 32 + 18 Combine like terms: -18 + 18 = 0 0 + 8y = 32 + 18 8y = 32 + 18 Combine like terms: 32 + 18 = 50 8y = 50 Divide each side by '8'. y = 6.25 Simplifying y = 6.25
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