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Simplifying 8y + -21 = 12y + -29 Reorder the terms: -21 + 8y = 12y + -29 Reorder the terms: -21 + 8y = -29 + 12y Solving -21 + 8y = -29 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -21 + 8y + -12y = -29 + 12y + -12y Combine like terms: 8y + -12y = -4y -21 + -4y = -29 + 12y + -12y Combine like terms: 12y + -12y = 0 -21 + -4y = -29 + 0 -21 + -4y = -29 Add '21' to each side of the equation. -21 + 21 + -4y = -29 + 21 Combine like terms: -21 + 21 = 0 0 + -4y = -29 + 21 -4y = -29 + 21 Combine like terms: -29 + 21 = -8 -4y = -8 Divide each side by '-4'. y = 2 Simplifying y = 2
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