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Simplifying -4y + -30 = -7(y + 6) Reorder the terms: -30 + -4y = -7(y + 6) Reorder the terms: -30 + -4y = -7(6 + y) -30 + -4y = (6 * -7 + y * -7) -30 + -4y = (-42 + -7y) Solving -30 + -4y = -42 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -30 + -4y + 7y = -42 + -7y + 7y Combine like terms: -4y + 7y = 3y -30 + 3y = -42 + -7y + 7y Combine like terms: -7y + 7y = 0 -30 + 3y = -42 + 0 -30 + 3y = -42 Add '30' to each side of the equation. -30 + 30 + 3y = -42 + 30 Combine like terms: -30 + 30 = 0 0 + 3y = -42 + 30 3y = -42 + 30 Combine like terms: -42 + 30 = -12 3y = -12 Divide each side by '3'. y = -4 Simplifying y = -4
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