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Simplifying -6y + -30 = -2(y + -5) Reorder the terms: -30 + -6y = -2(y + -5) Reorder the terms: -30 + -6y = -2(-5 + y) -30 + -6y = (-5 * -2 + y * -2) -30 + -6y = (10 + -2y) Solving -30 + -6y = 10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -30 + -6y + 2y = 10 + -2y + 2y Combine like terms: -6y + 2y = -4y -30 + -4y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 -30 + -4y = 10 + 0 -30 + -4y = 10 Add '30' to each side of the equation. -30 + 30 + -4y = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -4y = 10 + 30 -4y = 10 + 30 Combine like terms: 10 + 30 = 40 -4y = 40 Divide each side by '-4'. y = -10 Simplifying y = -10
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