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Simplifying 5y + -7 = 12y + 35 Reorder the terms: -7 + 5y = 12y + 35 Reorder the terms: -7 + 5y = 35 + 12y Solving -7 + 5y = 35 + 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. -7 + 5y + -12y = 35 + 12y + -12y Combine like terms: 5y + -12y = -7y -7 + -7y = 35 + 12y + -12y Combine like terms: 12y + -12y = 0 -7 + -7y = 35 + 0 -7 + -7y = 35 Add '7' to each side of the equation. -7 + 7 + -7y = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -7y = 35 + 7 -7y = 35 + 7 Combine like terms: 35 + 7 = 42 -7y = 42 Divide each side by '-7'. y = -6 Simplifying y = -6
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