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Simplifying -2y + -5(3x + -1) = 4y + -2 Reorder the terms: -2y + -5(-1 + 3x) = 4y + -2 -2y + (-1 * -5 + 3x * -5) = 4y + -2 -2y + (5 + -15x) = 4y + -2 Reorder the terms: 5 + -15x + -2y = 4y + -2 Reorder the terms: 5 + -15x + -2y = -2 + 4y Solving 5 + -15x + -2y = -2 + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -15x + -5 + -2y = -2 + -5 + 4y Reorder the terms: 5 + -5 + -15x + -2y = -2 + -5 + 4y Combine like terms: 5 + -5 = 0 0 + -15x + -2y = -2 + -5 + 4y -15x + -2y = -2 + -5 + 4y Combine like terms: -2 + -5 = -7 -15x + -2y = -7 + 4y Add '2y' to each side of the equation. -15x + -2y + 2y = -7 + 4y + 2y Combine like terms: -2y + 2y = 0 -15x + 0 = -7 + 4y + 2y -15x = -7 + 4y + 2y Combine like terms: 4y + 2y = 6y -15x = -7 + 6y Divide each side by '-15'. x = 0.4666666667 + -0.4y Simplifying x = 0.4666666667 + -0.4y
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