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Simplifying -8y + -42 = -6(y + 4) Reorder the terms: -42 + -8y = -6(y + 4) Reorder the terms: -42 + -8y = -6(4 + y) -42 + -8y = (4 * -6 + y * -6) -42 + -8y = (-24 + -6y) Solving -42 + -8y = -24 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -42 + -8y + 6y = -24 + -6y + 6y Combine like terms: -8y + 6y = -2y -42 + -2y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 -42 + -2y = -24 + 0 -42 + -2y = -24 Add '42' to each side of the equation. -42 + 42 + -2y = -24 + 42 Combine like terms: -42 + 42 = 0 0 + -2y = -24 + 42 -2y = -24 + 42 Combine like terms: -24 + 42 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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