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Simplifying 7y + -1(9y + 16) = 6 + -1(7y + -7) Reorder the terms: 7y + -1(16 + 9y) = 6 + -1(7y + -7) 7y + (16 * -1 + 9y * -1) = 6 + -1(7y + -7) 7y + (-16 + -9y) = 6 + -1(7y + -7) Reorder the terms: -16 + 7y + -9y = 6 + -1(7y + -7) Combine like terms: 7y + -9y = -2y -16 + -2y = 6 + -1(7y + -7) Reorder the terms: -16 + -2y = 6 + -1(-7 + 7y) -16 + -2y = 6 + (-7 * -1 + 7y * -1) -16 + -2y = 6 + (7 + -7y) Combine like terms: 6 + 7 = 13 -16 + -2y = 13 + -7y Solving -16 + -2y = 13 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -16 + -2y + 7y = 13 + -7y + 7y Combine like terms: -2y + 7y = 5y -16 + 5y = 13 + -7y + 7y Combine like terms: -7y + 7y = 0 -16 + 5y = 13 + 0 -16 + 5y = 13 Add '16' to each side of the equation. -16 + 16 + 5y = 13 + 16 Combine like terms: -16 + 16 = 0 0 + 5y = 13 + 16 5y = 13 + 16 Combine like terms: 13 + 16 = 29 5y = 29 Divide each side by '5'. y = 5.8 Simplifying y = 5.8
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