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Simplifying y + 10 + -7y = -5(y + -4) Reorder the terms: 10 + y + -7y = -5(y + -4) Combine like terms: y + -7y = -6y 10 + -6y = -5(y + -4) Reorder the terms: 10 + -6y = -5(-4 + y) 10 + -6y = (-4 * -5 + y * -5) 10 + -6y = (20 + -5y) Solving 10 + -6y = 20 + -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. 10 + -6y + 5y = 20 + -5y + 5y Combine like terms: -6y + 5y = -1y 10 + -1y = 20 + -5y + 5y Combine like terms: -5y + 5y = 0 10 + -1y = 20 + 0 10 + -1y = 20 Add '-10' to each side of the equation. 10 + -10 + -1y = 20 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 20 + -10 -1y = 20 + -10 Combine like terms: 20 + -10 = 10 -1y = 10 Divide each side by '-1'. y = -10 Simplifying y = -10
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