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Simplifying y + -2(2x + 1) = 3y + (-10) Reorder the terms: y + -2(1 + 2x) = 3y + (-10) y + (1 * -2 + 2x * -2) = 3y + (-10) y + (-2 + -4x) = 3y + (-10) Reorder the terms: -2 + -4x + y = 3y + (-10) -2 + -4x + y = 3y + -10 Reorder the terms: -2 + -4x + y = -10 + 3y Solving -2 + -4x + y = -10 + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -4x + 2 + y = -10 + 2 + 3y Reorder the terms: -2 + 2 + -4x + y = -10 + 2 + 3y Combine like terms: -2 + 2 = 0 0 + -4x + y = -10 + 2 + 3y -4x + y = -10 + 2 + 3y Combine like terms: -10 + 2 = -8 -4x + y = -8 + 3y Add '-1y' to each side of the equation. -4x + y + -1y = -8 + 3y + -1y Combine like terms: y + -1y = 0 -4x + 0 = -8 + 3y + -1y -4x = -8 + 3y + -1y Combine like terms: 3y + -1y = 2y -4x = -8 + 2y Divide each side by '-4'. x = 2 + -0.5y Simplifying x = 2 + -0.5y
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