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Simplifying 2(y + -7) + -16 = 31 + -1(5y + -4) Reorder the terms: 2(-7 + y) + -16 = 31 + -1(5y + -4) (-7 * 2 + y * 2) + -16 = 31 + -1(5y + -4) (-14 + 2y) + -16 = 31 + -1(5y + -4) Reorder the terms: -14 + -16 + 2y = 31 + -1(5y + -4) Combine like terms: -14 + -16 = -30 -30 + 2y = 31 + -1(5y + -4) Reorder the terms: -30 + 2y = 31 + -1(-4 + 5y) -30 + 2y = 31 + (-4 * -1 + 5y * -1) -30 + 2y = 31 + (4 + -5y) Combine like terms: 31 + 4 = 35 -30 + 2y = 35 + -5y Solving -30 + 2y = 35 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -30 + 2y + 5y = 35 + -5y + 5y Combine like terms: 2y + 5y = 7y -30 + 7y = 35 + -5y + 5y Combine like terms: -5y + 5y = 0 -30 + 7y = 35 + 0 -30 + 7y = 35 Add '30' to each side of the equation. -30 + 30 + 7y = 35 + 30 Combine like terms: -30 + 30 = 0 0 + 7y = 35 + 30 7y = 35 + 30 Combine like terms: 35 + 30 = 65 7y = 65 Divide each side by '7'. y = 9.285714286 Simplifying y = 9.285714286
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