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Simplifying -6(y + -8) = -4y + 42 Reorder the terms: -6(-8 + y) = -4y + 42 (-8 * -6 + y * -6) = -4y + 42 (48 + -6y) = -4y + 42 Reorder the terms: 48 + -6y = 42 + -4y Solving 48 + -6y = 42 + -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. 48 + -6y + 4y = 42 + -4y + 4y Combine like terms: -6y + 4y = -2y 48 + -2y = 42 + -4y + 4y Combine like terms: -4y + 4y = 0 48 + -2y = 42 + 0 48 + -2y = 42 Add '-48' to each side of the equation. 48 + -48 + -2y = 42 + -48 Combine like terms: 48 + -48 = 0 0 + -2y = 42 + -48 -2y = 42 + -48 Combine like terms: 42 + -48 = -6 -2y = -6 Divide each side by '-2'. y = 3 Simplifying y = 3
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