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