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Simplifying 4y + -1(6y + 3) = 4(y + 4) + -2y Reorder the terms: 4y + -1(3 + 6y) = 4(y + 4) + -2y 4y + (3 * -1 + 6y * -1) = 4(y + 4) + -2y 4y + (-3 + -6y) = 4(y + 4) + -2y Reorder the terms: -3 + 4y + -6y = 4(y + 4) + -2y Combine like terms: 4y + -6y = -2y -3 + -2y = 4(y + 4) + -2y Reorder the terms: -3 + -2y = 4(4 + y) + -2y -3 + -2y = (4 * 4 + y * 4) + -2y -3 + -2y = (16 + 4y) + -2y Combine like terms: 4y + -2y = 2y -3 + -2y = 16 + 2y Solving -3 + -2y = 16 + 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. -3 + -2y + -2y = 16 + 2y + -2y Combine like terms: -2y + -2y = -4y -3 + -4y = 16 + 2y + -2y Combine like terms: 2y + -2y = 0 -3 + -4y = 16 + 0 -3 + -4y = 16 Add '3' to each side of the equation. -3 + 3 + -4y = 16 + 3 Combine like terms: -3 + 3 = 0 0 + -4y = 16 + 3 -4y = 16 + 3 Combine like terms: 16 + 3 = 19 -4y = 19 Divide each side by '-4'. y = -4.75 Simplifying y = -4.75
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