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Simplifying -6y + -7 = -5(y + 9) Reorder the terms: -7 + -6y = -5(y + 9) Reorder the terms: -7 + -6y = -5(9 + y) -7 + -6y = (9 * -5 + y * -5) -7 + -6y = (-45 + -5y) Solving -7 + -6y = -45 + -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. -7 + -6y + 5y = -45 + -5y + 5y Combine like terms: -6y + 5y = -1y -7 + -1y = -45 + -5y + 5y Combine like terms: -5y + 5y = 0 -7 + -1y = -45 + 0 -7 + -1y = -45 Add '7' to each side of the equation. -7 + 7 + -1y = -45 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = -45 + 7 -1y = -45 + 7 Combine like terms: -45 + 7 = -38 -1y = -38 Divide each side by '-1'. y = 38 Simplifying y = 38
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