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Simplifying -2y + -30 = 6(y + 7) Reorder the terms: -30 + -2y = 6(y + 7) Reorder the terms: -30 + -2y = 6(7 + y) -30 + -2y = (7 * 6 + y * 6) -30 + -2y = (42 + 6y) Solving -30 + -2y = 42 + 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. -30 + -2y + -6y = 42 + 6y + -6y Combine like terms: -2y + -6y = -8y -30 + -8y = 42 + 6y + -6y Combine like terms: 6y + -6y = 0 -30 + -8y = 42 + 0 -30 + -8y = 42 Add '30' to each side of the equation. -30 + 30 + -8y = 42 + 30 Combine like terms: -30 + 30 = 0 0 + -8y = 42 + 30 -8y = 42 + 30 Combine like terms: 42 + 30 = 72 -8y = 72 Divide each side by '-8'. y = -9 Simplifying y = -9
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