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Simplifying -2(4y + 3) + -5(2 + -1y) = 3(2y + 3) + -7 Reorder the terms: -2(3 + 4y) + -5(2 + -1y) = 3(2y + 3) + -7 (3 * -2 + 4y * -2) + -5(2 + -1y) = 3(2y + 3) + -7 (-6 + -8y) + -5(2 + -1y) = 3(2y + 3) + -7 -6 + -8y + (2 * -5 + -1y * -5) = 3(2y + 3) + -7 -6 + -8y + (-10 + 5y) = 3(2y + 3) + -7 Reorder the terms: -6 + -10 + -8y + 5y = 3(2y + 3) + -7 Combine like terms: -6 + -10 = -16 -16 + -8y + 5y = 3(2y + 3) + -7 Combine like terms: -8y + 5y = -3y -16 + -3y = 3(2y + 3) + -7 Reorder the terms: -16 + -3y = 3(3 + 2y) + -7 -16 + -3y = (3 * 3 + 2y * 3) + -7 -16 + -3y = (9 + 6y) + -7 Reorder the terms: -16 + -3y = 9 + -7 + 6y Combine like terms: 9 + -7 = 2 -16 + -3y = 2 + 6y Solving -16 + -3y = 2 + 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. -16 + -3y + -6y = 2 + 6y + -6y Combine like terms: -3y + -6y = -9y -16 + -9y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 -16 + -9y = 2 + 0 -16 + -9y = 2 Add '16' to each side of the equation. -16 + 16 + -9y = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -9y = 2 + 16 -9y = 2 + 16 Combine like terms: 2 + 16 = 18 -9y = 18 Divide each side by '-9'. y = -2 Simplifying y = -2
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