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Simplifying -7(y + 6) = -3(y + 10) Reorder the terms: -7(6 + y) = -3(y + 10) (6 * -7 + y * -7) = -3(y + 10) (-42 + -7y) = -3(y + 10) Reorder the terms: -42 + -7y = -3(10 + y) -42 + -7y = (10 * -3 + y * -3) -42 + -7y = (-30 + -3y) Solving -42 + -7y = -30 + -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. -42 + -7y + 3y = -30 + -3y + 3y Combine like terms: -7y + 3y = -4y -42 + -4y = -30 + -3y + 3y Combine like terms: -3y + 3y = 0 -42 + -4y = -30 + 0 -42 + -4y = -30 Add '42' to each side of the equation. -42 + 42 + -4y = -30 + 42 Combine like terms: -42 + 42 = 0 0 + -4y = -30 + 42 -4y = -30 + 42 Combine like terms: -30 + 42 = 12 -4y = 12 Divide each side by '-4'. y = -3 Simplifying y = -3
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