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Simplifying -4(y + 3) = -3y + -1(-7) Reorder the terms: -4(3 + y) = -3y + -1(-7) (3 * -4 + y * -4) = -3y + -1(-7) (-12 + -4y) = -3y + -1(-7) Multiply -1 * -7 -12 + -4y = -3y + 7 Reorder the terms: -12 + -4y = 7 + -3y Solving -12 + -4y = 7 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -12 + -4y + 3y = 7 + -3y + 3y Combine like terms: -4y + 3y = -1y -12 + -1y = 7 + -3y + 3y Combine like terms: -3y + 3y = 0 -12 + -1y = 7 + 0 -12 + -1y = 7 Add '12' to each side of the equation. -12 + 12 + -1y = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 7 + 12 -1y = 7 + 12 Combine like terms: 7 + 12 = 19 -1y = 19 Divide each side by '-1'. y = -19 Simplifying y = -19
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