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Simplifying -5 + -1(15y + -1) + -2(7y + -16) + y = 0 Reorder the terms: -5 + -1(-1 + 15y) + -2(7y + -16) + y = 0 -5 + (-1 * -1 + 15y * -1) + -2(7y + -16) + y = 0 -5 + (1 + -15y) + -2(7y + -16) + y = 0 Reorder the terms: -5 + 1 + -15y + -2(-16 + 7y) + y = 0 -5 + 1 + -15y + (-16 * -2 + 7y * -2) + y = 0 -5 + 1 + -15y + (32 + -14y) + y = 0 Reorder the terms: -5 + 1 + 32 + -15y + -14y + y = 0 Combine like terms: -5 + 1 = -4 -4 + 32 + -15y + -14y + y = 0 Combine like terms: -4 + 32 = 28 28 + -15y + -14y + y = 0 Combine like terms: -15y + -14y = -29y 28 + -29y + y = 0 Combine like terms: -29y + y = -28y 28 + -28y = 0 Solving 28 + -28y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -28y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -28y = 0 + -28 -28y = 0 + -28 Combine like terms: 0 + -28 = -28 -28y = -28 Divide each side by '-28'. y = 1 Simplifying y = 1
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