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Simplifying 2y + -7 = 3y + -13 Reorder the terms: -7 + 2y = 3y + -13 Reorder the terms: -7 + 2y = -13 + 3y Solving -7 + 2y = -13 + 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. -7 + 2y + -3y = -13 + 3y + -3y Combine like terms: 2y + -3y = -1y -7 + -1y = -13 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + -1y = -13 + 0 -7 + -1y = -13 Add '7' to each side of the equation. -7 + 7 + -1y = -13 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = -13 + 7 -1y = -13 + 7 Combine like terms: -13 + 7 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6
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