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