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Simplifying -5(y + 2) = -2(2y + -2) + 5y Reorder the terms: -5(2 + y) = -2(2y + -2) + 5y (2 * -5 + y * -5) = -2(2y + -2) + 5y (-10 + -5y) = -2(2y + -2) + 5y Reorder the terms: -10 + -5y = -2(-2 + 2y) + 5y -10 + -5y = (-2 * -2 + 2y * -2) + 5y -10 + -5y = (4 + -4y) + 5y Combine like terms: -4y + 5y = 1y -10 + -5y = 4 + 1y Solving -10 + -5y = 4 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -10 + -5y + -1y = 4 + 1y + -1y Combine like terms: -5y + -1y = -6y -10 + -6y = 4 + 1y + -1y Combine like terms: 1y + -1y = 0 -10 + -6y = 4 + 0 -10 + -6y = 4 Add '10' to each side of the equation. -10 + 10 + -6y = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -6y = 4 + 10 -6y = 4 + 10 Combine like terms: 4 + 10 = 14 -6y = 14 Divide each side by '-6'. y = -2.333333333 Simplifying y = -2.333333333
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