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