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Simplifying 4(y + -3) = 8y + 2 + -4(-2y + -1) Reorder the terms: 4(-3 + y) = 8y + 2 + -4(-2y + -1) (-3 * 4 + y * 4) = 8y + 2 + -4(-2y + -1) (-12 + 4y) = 8y + 2 + -4(-2y + -1) Reorder the terms: -12 + 4y = 8y + 2 + -4(-1 + -2y) -12 + 4y = 8y + 2 + (-1 * -4 + -2y * -4) -12 + 4y = 8y + 2 + (4 + 8y) Reorder the terms: -12 + 4y = 2 + 4 + 8y + 8y Combine like terms: 2 + 4 = 6 -12 + 4y = 6 + 8y + 8y Combine like terms: 8y + 8y = 16y -12 + 4y = 6 + 16y Solving -12 + 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. -12 + 4y + -16y = 6 + 16y + -16y Combine like terms: 4y + -16y = -12y -12 + -12y = 6 + 16y + -16y Combine like terms: 16y + -16y = 0 -12 + -12y = 6 + 0 -12 + -12y = 6 Add '12' to each side of the equation. -12 + 12 + -12y = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -12y = 6 + 12 -12y = 6 + 12 Combine like terms: 6 + 12 = 18 -12y = 18 Divide each side by '-12'. y = -1.5 Simplifying y = -1.5
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