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Simplifying 4(y + -1) = y + 2 + -3(-5y + -1) Reorder the terms: 4(-1 + y) = y + 2 + -3(-5y + -1) (-1 * 4 + y * 4) = y + 2 + -3(-5y + -1) (-4 + 4y) = y + 2 + -3(-5y + -1) Reorder the terms: -4 + 4y = y + 2 + -3(-1 + -5y) -4 + 4y = y + 2 + (-1 * -3 + -5y * -3) -4 + 4y = y + 2 + (3 + 15y) Reorder the terms: -4 + 4y = 2 + 3 + y + 15y Combine like terms: 2 + 3 = 5 -4 + 4y = 5 + y + 15y Combine like terms: y + 15y = 16y -4 + 4y = 5 + 16y Solving -4 + 4y = 5 + 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. -4 + 4y + -16y = 5 + 16y + -16y Combine like terms: 4y + -16y = -12y -4 + -12y = 5 + 16y + -16y Combine like terms: 16y + -16y = 0 -4 + -12y = 5 + 0 -4 + -12y = 5 Add '4' to each side of the equation. -4 + 4 + -12y = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -12y = 5 + 4 -12y = 5 + 4 Combine like terms: 5 + 4 = 9 -12y = 9 Divide each side by '-12'. y = -0.75 Simplifying y = -0.75
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