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Simplifying 4(y + -2) = 7y + 3 + -3(-3y + -1) Reorder the terms: 4(-2 + y) = 7y + 3 + -3(-3y + -1) (-2 * 4 + y * 4) = 7y + 3 + -3(-3y + -1) (-8 + 4y) = 7y + 3 + -3(-3y + -1) Reorder the terms: -8 + 4y = 7y + 3 + -3(-1 + -3y) -8 + 4y = 7y + 3 + (-1 * -3 + -3y * -3) -8 + 4y = 7y + 3 + (3 + 9y) Reorder the terms: -8 + 4y = 3 + 3 + 7y + 9y Combine like terms: 3 + 3 = 6 -8 + 4y = 6 + 7y + 9y Combine like terms: 7y + 9y = 16y -8 + 4y = 6 + 16y Solving -8 + 4y = 6 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -8 + 4y + -16y = 6 + 16y + -16y Combine like terms: 4y + -16y = -12y -8 + -12y = 6 + 16y + -16y Combine like terms: 16y + -16y = 0 -8 + -12y = 6 + 0 -8 + -12y = 6 Add '8' to each side of the equation. -8 + 8 + -12y = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -12y = 6 + 8 -12y = 6 + 8 Combine like terms: 6 + 8 = 14 -12y = 14 Divide each side by '-12'. y = -1.166666667 Simplifying y = -1.166666667
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