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Simplifying 2y + 5 + -4 = 6y + -7 Reorder the terms: 5 + -4 + 2y = 6y + -7 Combine like terms: 5 + -4 = 1 1 + 2y = 6y + -7 Reorder the terms: 1 + 2y = -7 + 6y Solving 1 + 2y = -7 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 1 + 2y + -6y = -7 + 6y + -6y Combine like terms: 2y + -6y = -4y 1 + -4y = -7 + 6y + -6y Combine like terms: 6y + -6y = 0 1 + -4y = -7 + 0 1 + -4y = -7 Add '-1' to each side of the equation. 1 + -1 + -4y = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = -7 + -1 -4y = -7 + -1 Combine like terms: -7 + -1 = -8 -4y = -8 Divide each side by '-4'. y = 2 Simplifying y = 2
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