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Simplifying -6(y + 7) = -3y + -45 Reorder the terms: -6(7 + y) = -3y + -45 (7 * -6 + y * -6) = -3y + -45 (-42 + -6y) = -3y + -45 Reorder the terms: -42 + -6y = -45 + -3y Solving -42 + -6y = -45 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -42 + -6y + 3y = -45 + -3y + 3y Combine like terms: -6y + 3y = -3y -42 + -3y = -45 + -3y + 3y Combine like terms: -3y + 3y = 0 -42 + -3y = -45 + 0 -42 + -3y = -45 Add '42' to each side of the equation. -42 + 42 + -3y = -45 + 42 Combine like terms: -42 + 42 = 0 0 + -3y = -45 + 42 -3y = -45 + 42 Combine like terms: -45 + 42 = -3 -3y = -3 Divide each side by '-3'. y = 1 Simplifying y = 1
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