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