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Simplifying 12 + -5(y + 6) = 2y + -1 Reorder the terms: 12 + -5(6 + y) = 2y + -1 12 + (6 * -5 + y * -5) = 2y + -1 12 + (-30 + -5y) = 2y + -1 Combine like terms: 12 + -30 = -18 -18 + -5y = 2y + -1 Reorder the terms: -18 + -5y = -1 + 2y Solving -18 + -5y = -1 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -18 + -5y + -2y = -1 + 2y + -2y Combine like terms: -5y + -2y = -7y -18 + -7y = -1 + 2y + -2y Combine like terms: 2y + -2y = 0 -18 + -7y = -1 + 0 -18 + -7y = -1 Add '18' to each side of the equation. -18 + 18 + -7y = -1 + 18 Combine like terms: -18 + 18 = 0 0 + -7y = -1 + 18 -7y = -1 + 18 Combine like terms: -1 + 18 = 17 -7y = 17 Divide each side by '-7'. y = -2.428571429 Simplifying y = -2.428571429
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