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Simplifying 5y + -2 = 12y + 19 Reorder the terms: -2 + 5y = 12y + 19 Reorder the terms: -2 + 5y = 19 + 12y Solving -2 + 5y = 19 + 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. -2 + 5y + -12y = 19 + 12y + -12y Combine like terms: 5y + -12y = -7y -2 + -7y = 19 + 12y + -12y Combine like terms: 12y + -12y = 0 -2 + -7y = 19 + 0 -2 + -7y = 19 Add '2' to each side of the equation. -2 + 2 + -7y = 19 + 2 Combine like terms: -2 + 2 = 0 0 + -7y = 19 + 2 -7y = 19 + 2 Combine like terms: 19 + 2 = 21 -7y = 21 Divide each side by '-7'. y = -3 Simplifying y = -3
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