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Simplifying -5y + -45 = 4(y + -9) Reorder the terms: -45 + -5y = 4(y + -9) Reorder the terms: -45 + -5y = 4(-9 + y) -45 + -5y = (-9 * 4 + y * 4) -45 + -5y = (-36 + 4y) Solving -45 + -5y = -36 + 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. -45 + -5y + -4y = -36 + 4y + -4y Combine like terms: -5y + -4y = -9y -45 + -9y = -36 + 4y + -4y Combine like terms: 4y + -4y = 0 -45 + -9y = -36 + 0 -45 + -9y = -36 Add '45' to each side of the equation. -45 + 45 + -9y = -36 + 45 Combine like terms: -45 + 45 = 0 0 + -9y = -36 + 45 -9y = -36 + 45 Combine like terms: -36 + 45 = 9 -9y = 9 Divide each side by '-9'. y = -1 Simplifying y = -1
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