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Simplifying 5(2 + -7) + -1y = 2(y + 1) Combine like terms: 2 + -7 = -5 5(-5) + -1y = 2(y + 1) Multiply 5 * -5 -25 + -1y = 2(y + 1) Reorder the terms: -25 + -1y = 2(1 + y) -25 + -1y = (1 * 2 + y * 2) -25 + -1y = (2 + 2y) Solving -25 + -1y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -25 + -1y + -2y = 2 + 2y + -2y Combine like terms: -1y + -2y = -3y -25 + -3y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -25 + -3y = 2 + 0 -25 + -3y = 2 Add '25' to each side of the equation. -25 + 25 + -3y = 2 + 25 Combine like terms: -25 + 25 = 0 0 + -3y = 2 + 25 -3y = 2 + 25 Combine like terms: 2 + 25 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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