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Simplifying -7y + -12 = 9y + -15 + -13y Reorder the terms: -12 + -7y = 9y + -15 + -13y Reorder the terms: -12 + -7y = -15 + 9y + -13y Combine like terms: 9y + -13y = -4y -12 + -7y = -15 + -4y Solving -12 + -7y = -15 + -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. -12 + -7y + 4y = -15 + -4y + 4y Combine like terms: -7y + 4y = -3y -12 + -3y = -15 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + -3y = -15 + 0 -12 + -3y = -15 Add '12' to each side of the equation. -12 + 12 + -3y = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -3y = -15 + 12 -3y = -15 + 12 Combine like terms: -15 + 12 = -3 -3y = -3 Divide each side by '-3'. y = 1 Simplifying y = 1
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