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Simplifying 2(3y + -1) = 5(2y + 3) + -1 Reorder the terms: 2(-1 + 3y) = 5(2y + 3) + -1 (-1 * 2 + 3y * 2) = 5(2y + 3) + -1 (-2 + 6y) = 5(2y + 3) + -1 Reorder the terms: -2 + 6y = 5(3 + 2y) + -1 -2 + 6y = (3 * 5 + 2y * 5) + -1 -2 + 6y = (15 + 10y) + -1 Reorder the terms: -2 + 6y = 15 + -1 + 10y Combine like terms: 15 + -1 = 14 -2 + 6y = 14 + 10y Solving -2 + 6y = 14 + 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. -2 + 6y + -10y = 14 + 10y + -10y Combine like terms: 6y + -10y = -4y -2 + -4y = 14 + 10y + -10y Combine like terms: 10y + -10y = 0 -2 + -4y = 14 + 0 -2 + -4y = 14 Add '2' to each side of the equation. -2 + 2 + -4y = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -4y = 14 + 2 -4y = 14 + 2 Combine like terms: 14 + 2 = 16 -4y = 16 Divide each side by '-4'. y = -4 Simplifying y = -4
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