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Simplifying -5 + -1(15y + -1) = 2(7x + -16) + -1y Reorder the terms: -5 + -1(-1 + 15y) = 2(7x + -16) + -1y -5 + (-1 * -1 + 15y * -1) = 2(7x + -16) + -1y -5 + (1 + -15y) = 2(7x + -16) + -1y Combine like terms: -5 + 1 = -4 -4 + -15y = 2(7x + -16) + -1y Reorder the terms: -4 + -15y = 2(-16 + 7x) + -1y -4 + -15y = (-16 * 2 + 7x * 2) + -1y -4 + -15y = (-32 + 14x) + -1y Solving -4 + -15y = -32 + 14x + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -4 + -15y + y = -32 + 14x + -1y + y Combine like terms: -15y + y = -14y -4 + -14y = -32 + 14x + -1y + y Combine like terms: -1y + y = 0 -4 + -14y = -32 + 14x + 0 -4 + -14y = -32 + 14x Add '4' to each side of the equation. -4 + 4 + -14y = -32 + 4 + 14x Combine like terms: -4 + 4 = 0 0 + -14y = -32 + 4 + 14x -14y = -32 + 4 + 14x Combine like terms: -32 + 4 = -28 -14y = -28 + 14x Divide each side by '-14'. y = 2 + -1x Simplifying y = 2 + -1x
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