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Simplifying 6y + -2[7(y + 1) + 4] = 10y Reorder the terms: 6y + -2[7(1 + y) + 4] = 10y 6y + -2[(1 * 7 + y * 7) + 4] = 10y 6y + -2[(7 + 7y) + 4] = 10y Reorder the terms: 6y + -2[7 + 4 + 7y] = 10y Combine like terms: 7 + 4 = 11 6y + -2[11 + 7y] = 10y 6y + [11 * -2 + 7y * -2] = 10y 6y + [-22 + -14y] = 10y Reorder the terms: -22 + 6y + -14y = 10y Combine like terms: 6y + -14y = -8y -22 + -8y = 10y Solving -22 + -8y = 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -22 + -8y + -10y = 10y + -10y Combine like terms: -8y + -10y = -18y -22 + -18y = 10y + -10y Combine like terms: 10y + -10y = 0 -22 + -18y = 0 Add '22' to each side of the equation. -22 + 22 + -18y = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -18y = 0 + 22 -18y = 0 + 22 Combine like terms: 0 + 22 = 22 -18y = 22 Divide each side by '-18'. y = -1.222222222 Simplifying y = -1.222222222
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