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Simplifying 7 + -2(3y + 5) = 3(2y + -4) + 21 Reorder the terms: 7 + -2(5 + 3y) = 3(2y + -4) + 21 7 + (5 * -2 + 3y * -2) = 3(2y + -4) + 21 7 + (-10 + -6y) = 3(2y + -4) + 21 Combine like terms: 7 + -10 = -3 -3 + -6y = 3(2y + -4) + 21 Reorder the terms: -3 + -6y = 3(-4 + 2y) + 21 -3 + -6y = (-4 * 3 + 2y * 3) + 21 -3 + -6y = (-12 + 6y) + 21 Reorder the terms: -3 + -6y = -12 + 21 + 6y Combine like terms: -12 + 21 = 9 -3 + -6y = 9 + 6y Solving -3 + -6y = 9 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -3 + -6y + -6y = 9 + 6y + -6y Combine like terms: -6y + -6y = -12y -3 + -12y = 9 + 6y + -6y Combine like terms: 6y + -6y = 0 -3 + -12y = 9 + 0 -3 + -12y = 9 Add '3' to each side of the equation. -3 + 3 + -12y = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -12y = 9 + 3 -12y = 9 + 3 Combine like terms: 9 + 3 = 12 -12y = 12 Divide each side by '-12'. y = -1 Simplifying y = -1
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