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Simplifying -5 + -1(15y + -1) = 1(7y + -16) + -1y Reorder the terms: -5 + -1(-1 + 15y) = 1(7y + -16) + -1y -5 + (-1 * -1 + 15y * -1) = 1(7y + -16) + -1y -5 + (1 + -15y) = 1(7y + -16) + -1y Combine like terms: -5 + 1 = -4 -4 + -15y = 1(7y + -16) + -1y Reorder the terms: -4 + -15y = 1(-16 + 7y) + -1y -4 + -15y = (-16 * 1 + 7y * 1) + -1y -4 + -15y = (-16 + 7y) + -1y Combine like terms: 7y + -1y = 6y -4 + -15y = -16 + 6y Solving -4 + -15y = -16 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -4 + -15y + -6y = -16 + 6y + -6y Combine like terms: -15y + -6y = -21y -4 + -21y = -16 + 6y + -6y Combine like terms: 6y + -6y = 0 -4 + -21y = -16 + 0 -4 + -21y = -16 Add '4' to each side of the equation. -4 + 4 + -21y = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -21y = -16 + 4 -21y = -16 + 4 Combine like terms: -16 + 4 = -12 -21y = -12 Divide each side by '-21'. y = 0.5714285714 Simplifying y = 0.5714285714
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