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Simplifying -6(-8y + 8) = 8(y + 5) Reorder the terms: -6(8 + -8y) = 8(y + 5) (8 * -6 + -8y * -6) = 8(y + 5) (-48 + 48y) = 8(y + 5) Reorder the terms: -48 + 48y = 8(5 + y) -48 + 48y = (5 * 8 + y * 8) -48 + 48y = (40 + 8y) Solving -48 + 48y = 40 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -48 + 48y + -8y = 40 + 8y + -8y Combine like terms: 48y + -8y = 40y -48 + 40y = 40 + 8y + -8y Combine like terms: 8y + -8y = 0 -48 + 40y = 40 + 0 -48 + 40y = 40 Add '48' to each side of the equation. -48 + 48 + 40y = 40 + 48 Combine like terms: -48 + 48 = 0 0 + 40y = 40 + 48 40y = 40 + 48 Combine like terms: 40 + 48 = 88 40y = 88 Divide each side by '40'. y = 2.2 Simplifying y = 2.2
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