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Simplifying -5y + 5 = -3(y + 6) Reorder the terms: 5 + -5y = -3(y + 6) Reorder the terms: 5 + -5y = -3(6 + y) 5 + -5y = (6 * -3 + y * -3) 5 + -5y = (-18 + -3y) Solving 5 + -5y = -18 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 5 + -5y + 3y = -18 + -3y + 3y Combine like terms: -5y + 3y = -2y 5 + -2y = -18 + -3y + 3y Combine like terms: -3y + 3y = 0 5 + -2y = -18 + 0 5 + -2y = -18 Add '-5' to each side of the equation. 5 + -5 + -2y = -18 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = -18 + -5 -2y = -18 + -5 Combine like terms: -18 + -5 = -23 -2y = -23 Divide each side by '-2'. y = 11.5 Simplifying y = 11.5
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