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Simplifying 10(y + 2) = -2(2y + -3) Reorder the terms: 10(2 + y) = -2(2y + -3) (2 * 10 + y * 10) = -2(2y + -3) (20 + 10y) = -2(2y + -3) Reorder the terms: 20 + 10y = -2(-3 + 2y) 20 + 10y = (-3 * -2 + 2y * -2) 20 + 10y = (6 + -4y) Solving 20 + 10y = 6 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 20 + 10y + 4y = 6 + -4y + 4y Combine like terms: 10y + 4y = 14y 20 + 14y = 6 + -4y + 4y Combine like terms: -4y + 4y = 0 20 + 14y = 6 + 0 20 + 14y = 6 Add '-20' to each side of the equation. 20 + -20 + 14y = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 14y = 6 + -20 14y = 6 + -20 Combine like terms: 6 + -20 = -14 14y = -14 Divide each side by '14'. y = -1 Simplifying y = -1
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