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Simplifying -5 + -1(15y + -1) = -2(7y + -16 + -1y) + -1y Reorder the terms: -5 + -1(-1 + 15y) = -2(7y + -16 + -1y) + -1y -5 + (-1 * -1 + 15y * -1) = -2(7y + -16 + -1y) + -1y -5 + (1 + -15y) = -2(7y + -16 + -1y) + -1y Combine like terms: -5 + 1 = -4 -4 + -15y = -2(7y + -16 + -1y) + -1y Reorder the terms: -4 + -15y = -2(-16 + 7y + -1y) + -1y Combine like terms: 7y + -1y = 6y -4 + -15y = -2(-16 + 6y) + -1y -4 + -15y = (-16 * -2 + 6y * -2) + -1y -4 + -15y = (32 + -12y) + -1y Combine like terms: -12y + -1y = -13y -4 + -15y = 32 + -13y Solving -4 + -15y = 32 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. -4 + -15y + 13y = 32 + -13y + 13y Combine like terms: -15y + 13y = -2y -4 + -2y = 32 + -13y + 13y Combine like terms: -13y + 13y = 0 -4 + -2y = 32 + 0 -4 + -2y = 32 Add '4' to each side of the equation. -4 + 4 + -2y = 32 + 4 Combine like terms: -4 + 4 = 0 0 + -2y = 32 + 4 -2y = 32 + 4 Combine like terms: 32 + 4 = 36 -2y = 36 Divide each side by '-2'. y = -18 Simplifying y = -18
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