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Simplifying 6(y + 1) + -10 = 4(4 + -1) + 2y Reorder the terms: 6(1 + y) + -10 = 4(4 + -1) + 2y (1 * 6 + y * 6) + -10 = 4(4 + -1) + 2y (6 + 6y) + -10 = 4(4 + -1) + 2y Reorder the terms: 6 + -10 + 6y = 4(4 + -1) + 2y Combine like terms: 6 + -10 = -4 -4 + 6y = 4(4 + -1) + 2y Combine like terms: 4 + -1 = 3 -4 + 6y = 4(3) + 2y Multiply 4 * 3 -4 + 6y = 12 + 2y Solving -4 + 6y = 12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -4 + 6y + -2y = 12 + 2y + -2y Combine like terms: 6y + -2y = 4y -4 + 4y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -4 + 4y = 12 + 0 -4 + 4y = 12 Add '4' to each side of the equation. -4 + 4 + 4y = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4y = 12 + 4 4y = 12 + 4 Combine like terms: 12 + 4 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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