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Simplifying 5y + -6 = 12y + 57 Reorder the terms: -6 + 5y = 12y + 57 Reorder the terms: -6 + 5y = 57 + 12y Solving -6 + 5y = 57 + 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. -6 + 5y + -12y = 57 + 12y + -12y Combine like terms: 5y + -12y = -7y -6 + -7y = 57 + 12y + -12y Combine like terms: 12y + -12y = 0 -6 + -7y = 57 + 0 -6 + -7y = 57 Add '6' to each side of the equation. -6 + 6 + -7y = 57 + 6 Combine like terms: -6 + 6 = 0 0 + -7y = 57 + 6 -7y = 57 + 6 Combine like terms: 57 + 6 = 63 -7y = 63 Divide each side by '-7'. y = -9 Simplifying y = -9
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