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Simplifying 5(3y + -8) + -2(9y + -1) = -1(y + 2) Reorder the terms: 5(-8 + 3y) + -2(9y + -1) = -1(y + 2) (-8 * 5 + 3y * 5) + -2(9y + -1) = -1(y + 2) (-40 + 15y) + -2(9y + -1) = -1(y + 2) Reorder the terms: -40 + 15y + -2(-1 + 9y) = -1(y + 2) -40 + 15y + (-1 * -2 + 9y * -2) = -1(y + 2) -40 + 15y + (2 + -18y) = -1(y + 2) Reorder the terms: -40 + 2 + 15y + -18y = -1(y + 2) Combine like terms: -40 + 2 = -38 -38 + 15y + -18y = -1(y + 2) Combine like terms: 15y + -18y = -3y -38 + -3y = -1(y + 2) Reorder the terms: -38 + -3y = -1(2 + y) -38 + -3y = (2 * -1 + y * -1) -38 + -3y = (-2 + -1y) Solving -38 + -3y = -2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -38 + -3y + y = -2 + -1y + y Combine like terms: -3y + y = -2y -38 + -2y = -2 + -1y + y Combine like terms: -1y + y = 0 -38 + -2y = -2 + 0 -38 + -2y = -2 Add '38' to each side of the equation. -38 + 38 + -2y = -2 + 38 Combine like terms: -38 + 38 = 0 0 + -2y = -2 + 38 -2y = -2 + 38 Combine like terms: -2 + 38 = 36 -2y = 36 Divide each side by '-2'. y = -18 Simplifying y = -18
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