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Simplifying -9y + -45 = -3(y + 1) Reorder the terms: -45 + -9y = -3(y + 1) Reorder the terms: -45 + -9y = -3(1 + y) -45 + -9y = (1 * -3 + y * -3) -45 + -9y = (-3 + -3y) Solving -45 + -9y = -3 + -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. -45 + -9y + 3y = -3 + -3y + 3y Combine like terms: -9y + 3y = -6y -45 + -6y = -3 + -3y + 3y Combine like terms: -3y + 3y = 0 -45 + -6y = -3 + 0 -45 + -6y = -3 Add '45' to each side of the equation. -45 + 45 + -6y = -3 + 45 Combine like terms: -45 + 45 = 0 0 + -6y = -3 + 45 -6y = -3 + 45 Combine like terms: -3 + 45 = 42 -6y = 42 Divide each side by '-6'. y = -7 Simplifying y = -7
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