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Simplifying -2y + -13 = 7(y + 2) Reorder the terms: -13 + -2y = 7(y + 2) Reorder the terms: -13 + -2y = 7(2 + y) -13 + -2y = (2 * 7 + y * 7) -13 + -2y = (14 + 7y) Solving -13 + -2y = 14 + 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. -13 + -2y + -7y = 14 + 7y + -7y Combine like terms: -2y + -7y = -9y -13 + -9y = 14 + 7y + -7y Combine like terms: 7y + -7y = 0 -13 + -9y = 14 + 0 -13 + -9y = 14 Add '13' to each side of the equation. -13 + 13 + -9y = 14 + 13 Combine like terms: -13 + 13 = 0 0 + -9y = 14 + 13 -9y = 14 + 13 Combine like terms: 14 + 13 = 27 -9y = 27 Divide each side by '-9'. y = -3 Simplifying y = -3
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