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Simplifying 7y + -9 + 4y + -6 = -8y + 13 + 12y Reorder the terms: -9 + -6 + 7y + 4y = -8y + 13 + 12y Combine like terms: -9 + -6 = -15 -15 + 7y + 4y = -8y + 13 + 12y Combine like terms: 7y + 4y = 11y -15 + 11y = -8y + 13 + 12y Reorder the terms: -15 + 11y = 13 + -8y + 12y Combine like terms: -8y + 12y = 4y -15 + 11y = 13 + 4y Solving -15 + 11y = 13 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -15 + 11y + -4y = 13 + 4y + -4y Combine like terms: 11y + -4y = 7y -15 + 7y = 13 + 4y + -4y Combine like terms: 4y + -4y = 0 -15 + 7y = 13 + 0 -15 + 7y = 13 Add '15' to each side of the equation. -15 + 15 + 7y = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 7y = 13 + 15 7y = 13 + 15 Combine like terms: 13 + 15 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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