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Simplifying 3(y + -2) = 3y + 8 + -4(-4y + -1) Reorder the terms: 3(-2 + y) = 3y + 8 + -4(-4y + -1) (-2 * 3 + y * 3) = 3y + 8 + -4(-4y + -1) (-6 + 3y) = 3y + 8 + -4(-4y + -1) Reorder the terms: -6 + 3y = 3y + 8 + -4(-1 + -4y) -6 + 3y = 3y + 8 + (-1 * -4 + -4y * -4) -6 + 3y = 3y + 8 + (4 + 16y) Reorder the terms: -6 + 3y = 8 + 4 + 3y + 16y Combine like terms: 8 + 4 = 12 -6 + 3y = 12 + 3y + 16y Combine like terms: 3y + 16y = 19y -6 + 3y = 12 + 19y Solving -6 + 3y = 12 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -6 + 3y + -19y = 12 + 19y + -19y Combine like terms: 3y + -19y = -16y -6 + -16y = 12 + 19y + -19y Combine like terms: 19y + -19y = 0 -6 + -16y = 12 + 0 -6 + -16y = 12 Add '6' to each side of the equation. -6 + 6 + -16y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -16y = 12 + 6 -16y = 12 + 6 Combine like terms: 12 + 6 = 18 -16y = 18 Divide each side by '-16'. y = -1.125 Simplifying y = -1.125
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