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Simplifying 6y + -7 = 2y + 21 Reorder the terms: -7 + 6y = 2y + 21 Reorder the terms: -7 + 6y = 21 + 2y Solving -7 + 6y = 21 + 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. -7 + 6y + -2y = 21 + 2y + -2y Combine like terms: 6y + -2y = 4y -7 + 4y = 21 + 2y + -2y Combine like terms: 2y + -2y = 0 -7 + 4y = 21 + 0 -7 + 4y = 21 Add '7' to each side of the equation. -7 + 7 + 4y = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 4y = 21 + 7 4y = 21 + 7 Combine like terms: 21 + 7 = 28 4y = 28 Divide each side by '4'. y = 7 Simplifying y = 7
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