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Simplifying 5y + 45 = -5(y + -7) Reorder the terms: 45 + 5y = -5(y + -7) Reorder the terms: 45 + 5y = -5(-7 + y) 45 + 5y = (-7 * -5 + y * -5) 45 + 5y = (35 + -5y) Solving 45 + 5y = 35 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 45 + 5y + 5y = 35 + -5y + 5y Combine like terms: 5y + 5y = 10y 45 + 10y = 35 + -5y + 5y Combine like terms: -5y + 5y = 0 45 + 10y = 35 + 0 45 + 10y = 35 Add '-45' to each side of the equation. 45 + -45 + 10y = 35 + -45 Combine like terms: 45 + -45 = 0 0 + 10y = 35 + -45 10y = 35 + -45 Combine like terms: 35 + -45 = -10 10y = -10 Divide each side by '10'. y = -1 Simplifying y = -1
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