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Simplifying 6y + -36 = -2(y + 2) Reorder the terms: -36 + 6y = -2(y + 2) Reorder the terms: -36 + 6y = -2(2 + y) -36 + 6y = (2 * -2 + y * -2) -36 + 6y = (-4 + -2y) Solving -36 + 6y = -4 + -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. -36 + 6y + 2y = -4 + -2y + 2y Combine like terms: 6y + 2y = 8y -36 + 8y = -4 + -2y + 2y Combine like terms: -2y + 2y = 0 -36 + 8y = -4 + 0 -36 + 8y = -4 Add '36' to each side of the equation. -36 + 36 + 8y = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 8y = -4 + 36 8y = -4 + 36 Combine like terms: -4 + 36 = 32 8y = 32 Divide each side by '8'. y = 4 Simplifying y = 4
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