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Simplifying y + -10(x + 4) = 10 + 2y Reorder the terms: y + -10(4 + x) = 10 + 2y y + (4 * -10 + x * -10) = 10 + 2y y + (-40 + -10x) = 10 + 2y Reorder the terms: -40 + -10x + y = 10 + 2y Solving -40 + -10x + y = 10 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -10x + 40 + y = 10 + 40 + 2y Reorder the terms: -40 + 40 + -10x + y = 10 + 40 + 2y Combine like terms: -40 + 40 = 0 0 + -10x + y = 10 + 40 + 2y -10x + y = 10 + 40 + 2y Combine like terms: 10 + 40 = 50 -10x + y = 50 + 2y Add '-1y' to each side of the equation. -10x + y + -1y = 50 + 2y + -1y Combine like terms: y + -1y = 0 -10x + 0 = 50 + 2y + -1y -10x = 50 + 2y + -1y Combine like terms: 2y + -1y = 1y -10x = 50 + 1y Divide each side by '-10'. x = -5 + -0.1y Simplifying x = -5 + -0.1y
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