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Simplifying 5y + -3 = -6y + 4 + 12y Reorder the terms: -3 + 5y = -6y + 4 + 12y Reorder the terms: -3 + 5y = 4 + -6y + 12y Combine like terms: -6y + 12y = 6y -3 + 5y = 4 + 6y Solving -3 + 5y = 4 + 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. -3 + 5y + -6y = 4 + 6y + -6y Combine like terms: 5y + -6y = -1y -3 + -1y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 -3 + -1y = 4 + 0 -3 + -1y = 4 Add '3' to each side of the equation. -3 + 3 + -1y = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 4 + 3 -1y = 4 + 3 Combine like terms: 4 + 3 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7
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