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Simplifying 5(y + -6) = 8(y + 6) Reorder the terms: 5(-6 + y) = 8(y + 6) (-6 * 5 + y * 5) = 8(y + 6) (-30 + 5y) = 8(y + 6) Reorder the terms: -30 + 5y = 8(6 + y) -30 + 5y = (6 * 8 + y * 8) -30 + 5y = (48 + 8y) Solving -30 + 5y = 48 + 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. -30 + 5y + -8y = 48 + 8y + -8y Combine like terms: 5y + -8y = -3y -30 + -3y = 48 + 8y + -8y Combine like terms: 8y + -8y = 0 -30 + -3y = 48 + 0 -30 + -3y = 48 Add '30' to each side of the equation. -30 + 30 + -3y = 48 + 30 Combine like terms: -30 + 30 = 0 0 + -3y = 48 + 30 -3y = 48 + 30 Combine like terms: 48 + 30 = 78 -3y = 78 Divide each side by '-3'. y = -26 Simplifying y = -26
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