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Simplifying -2[(4y + 4) + -1(6y + -2)] = 4(7 + -1y) + -7 Reorder the terms: -2[(4 + 4y) + -1(6y + -2)] = 4(7 + -1y) + -7 Remove parenthesis around (4 + 4y) -2[4 + 4y + -1(6y + -2)] = 4(7 + -1y) + -7 Reorder the terms: -2[4 + 4y + -1(-2 + 6y)] = 4(7 + -1y) + -7 -2[4 + 4y + (-2 * -1 + 6y * -1)] = 4(7 + -1y) + -7 -2[4 + 4y + (2 + -6y)] = 4(7 + -1y) + -7 Reorder the terms: -2[4 + 2 + 4y + -6y] = 4(7 + -1y) + -7 Combine like terms: 4 + 2 = 6 -2[6 + 4y + -6y] = 4(7 + -1y) + -7 Combine like terms: 4y + -6y = -2y -2[6 + -2y] = 4(7 + -1y) + -7 [6 * -2 + -2y * -2] = 4(7 + -1y) + -7 [-12 + 4y] = 4(7 + -1y) + -7 -12 + 4y = (7 * 4 + -1y * 4) + -7 -12 + 4y = (28 + -4y) + -7 Reorder the terms: -12 + 4y = 28 + -7 + -4y Combine like terms: 28 + -7 = 21 -12 + 4y = 21 + -4y Solving -12 + 4y = 21 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -12 + 4y + 4y = 21 + -4y + 4y Combine like terms: 4y + 4y = 8y -12 + 8y = 21 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + 8y = 21 + 0 -12 + 8y = 21 Add '12' to each side of the equation. -12 + 12 + 8y = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = 21 + 12 8y = 21 + 12 Combine like terms: 21 + 12 = 33 8y = 33 Divide each side by '8'. y = 4.125 Simplifying y = 4.125
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