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Simplifying -2y + -2 = 6(y + -7) Reorder the terms: -2 + -2y = 6(y + -7) Reorder the terms: -2 + -2y = 6(-7 + y) -2 + -2y = (-7 * 6 + y * 6) -2 + -2y = (-42 + 6y) Solving -2 + -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. -2 + -2y + -6y = -42 + 6y + -6y Combine like terms: -2y + -6y = -8y -2 + -8y = -42 + 6y + -6y Combine like terms: 6y + -6y = 0 -2 + -8y = -42 + 0 -2 + -8y = -42 Add '2' to each side of the equation. -2 + 2 + -8y = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -8y = -42 + 2 -8y = -42 + 2 Combine like terms: -42 + 2 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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