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Simplifying 3y + -42 = 6(y + -6) Reorder the terms: -42 + 3y = 6(y + -6) Reorder the terms: -42 + 3y = 6(-6 + y) -42 + 3y = (-6 * 6 + y * 6) -42 + 3y = (-36 + 6y) Solving -42 + 3y = -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. -42 + 3y + -6y = -36 + 6y + -6y Combine like terms: 3y + -6y = -3y -42 + -3y = -36 + 6y + -6y Combine like terms: 6y + -6y = 0 -42 + -3y = -36 + 0 -42 + -3y = -36 Add '42' to each side of the equation. -42 + 42 + -3y = -36 + 42 Combine like terms: -42 + 42 = 0 0 + -3y = -36 + 42 -3y = -36 + 42 Combine like terms: -36 + 42 = 6 -3y = 6 Divide each side by '-3'. y = -2 Simplifying y = -2
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