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Simplifying -3 + -1(2y + 4) = 3y + -1(4y + -5) Reorder the terms: -3 + -1(4 + 2y) = 3y + -1(4y + -5) -3 + (4 * -1 + 2y * -1) = 3y + -1(4y + -5) -3 + (-4 + -2y) = 3y + -1(4y + -5) Combine like terms: -3 + -4 = -7 -7 + -2y = 3y + -1(4y + -5) Reorder the terms: -7 + -2y = 3y + -1(-5 + 4y) -7 + -2y = 3y + (-5 * -1 + 4y * -1) -7 + -2y = 3y + (5 + -4y) Reorder the terms: -7 + -2y = 5 + 3y + -4y Combine like terms: 3y + -4y = -1y -7 + -2y = 5 + -1y Solving -7 + -2y = 5 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -7 + -2y + y = 5 + -1y + y Combine like terms: -2y + y = -1y -7 + -1y = 5 + -1y + y Combine like terms: -1y + y = 0 -7 + -1y = 5 + 0 -7 + -1y = 5 Add '7' to each side of the equation. -7 + 7 + -1y = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 5 + 7 -1y = 5 + 7 Combine like terms: 5 + 7 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12
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