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Simplifying 2(y + -7) = 3(y + 5) Reorder the terms: 2(-7 + y) = 3(y + 5) (-7 * 2 + y * 2) = 3(y + 5) (-14 + 2y) = 3(y + 5) Reorder the terms: -14 + 2y = 3(5 + y) -14 + 2y = (5 * 3 + y * 3) -14 + 2y = (15 + 3y) Solving -14 + 2y = 15 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -14 + 2y + -3y = 15 + 3y + -3y Combine like terms: 2y + -3y = -1y -14 + -1y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -14 + -1y = 15 + 0 -14 + -1y = 15 Add '14' to each side of the equation. -14 + 14 + -1y = 15 + 14 Combine like terms: -14 + 14 = 0 0 + -1y = 15 + 14 -1y = 15 + 14 Combine like terms: 15 + 14 = 29 -1y = 29 Divide each side by '-1'. y = -29 Simplifying y = -29
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