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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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