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Simplifying -4y + 1 = 6(y + 6) Reorder the terms: 1 + -4y = 6(y + 6) Reorder the terms: 1 + -4y = 6(6 + y) 1 + -4y = (6 * 6 + y * 6) 1 + -4y = (36 + 6y) Solving 1 + -4y = 36 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 1 + -4y + -6y = 36 + 6y + -6y Combine like terms: -4y + -6y = -10y 1 + -10y = 36 + 6y + -6y Combine like terms: 6y + -6y = 0 1 + -10y = 36 + 0 1 + -10y = 36 Add '-1' to each side of the equation. 1 + -1 + -10y = 36 + -1 Combine like terms: 1 + -1 = 0 0 + -10y = 36 + -1 -10y = 36 + -1 Combine like terms: 36 + -1 = 35 -10y = 35 Divide each side by '-10'. y = -3.5 Simplifying y = -3.5
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