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Simplifying -7(y + -6) = 8y + 27 Reorder the terms: -7(-6 + y) = 8y + 27 (-6 * -7 + y * -7) = 8y + 27 (42 + -7y) = 8y + 27 Reorder the terms: 42 + -7y = 27 + 8y Solving 42 + -7y = 27 + 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. 42 + -7y + -8y = 27 + 8y + -8y Combine like terms: -7y + -8y = -15y 42 + -15y = 27 + 8y + -8y Combine like terms: 8y + -8y = 0 42 + -15y = 27 + 0 42 + -15y = 27 Add '-42' to each side of the equation. 42 + -42 + -15y = 27 + -42 Combine like terms: 42 + -42 = 0 0 + -15y = 27 + -42 -15y = 27 + -42 Combine like terms: 27 + -42 = -15 -15y = -15 Divide each side by '-15'. y = 1 Simplifying y = 1
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