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