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Simplifying 12y + 1 = -5(2 + -7y) Reorder the terms: 1 + 12y = -5(2 + -7y) 1 + 12y = (2 * -5 + -7y * -5) 1 + 12y = (-10 + 35y) Solving 1 + 12y = -10 + 35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35y' to each side of the equation. 1 + 12y + -35y = -10 + 35y + -35y Combine like terms: 12y + -35y = -23y 1 + -23y = -10 + 35y + -35y Combine like terms: 35y + -35y = 0 1 + -23y = -10 + 0 1 + -23y = -10 Add '-1' to each side of the equation. 1 + -1 + -23y = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -23y = -10 + -1 -23y = -10 + -1 Combine like terms: -10 + -1 = -11 -23y = -11 Divide each side by '-23'. y = 0.4782608696 Simplifying y = 0.4782608696
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