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Simplifying 5(y + -2) = 6(y + -1) Reorder the terms: 5(-2 + y) = 6(y + -1) (-2 * 5 + y * 5) = 6(y + -1) (-10 + 5y) = 6(y + -1) Reorder the terms: -10 + 5y = 6(-1 + y) -10 + 5y = (-1 * 6 + y * 6) -10 + 5y = (-6 + 6y) Solving -10 + 5y = -6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -10 + 5y + -6y = -6 + 6y + -6y Combine like terms: 5y + -6y = -1y -10 + -1y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 -10 + -1y = -6 + 0 -10 + -1y = -6 Add '10' to each side of the equation. -10 + 10 + -1y = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -1y = -6 + 10 -1y = -6 + 10 Combine like terms: -6 + 10 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4
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